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Finding the Third Proportional to 5,994 and 14,115

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Solution

The third proportional to 5,994 and 14,115 is: 33,238.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,994 : 14,115 = 14,115 : x
  2. Step 2: Convert to fraction form
    5,994/14,115 = 14,115/x
  3. Step 3: Cross multiply
    5,994x = 14,115 × 14,115
  4. Step 4: Simplify right side
    5,994x = 199,233,225
  5. Step 5: Solve for x
    x = 199,233,225/5,994
  6. Step 6: Final answer
    x = 33,238.78

Related Problems

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Double scale
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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.