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Finding the Third Proportional to 5,998 and 14,119

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Solution

The third proportional to 5,998 and 14,119 is: 33,235.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998 : 14,119 = 14,119 : x
  2. Step 2: Convert to fraction form
    5,998/14,119 = 14,119/x
  3. Step 3: Cross multiply
    5,998x = 14,119 × 14,119
  4. Step 4: Simplify right side
    5,998x = 199,346,161
  5. Step 5: Solve for x
    x = 199,346,161/5,998
  6. Step 6: Final answer
    x = 33,235.44

Related Problems

Find third proportional to 2,999 and 7,059.50
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.