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Finding the Third Proportional to 5,998 and 8,993

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Solution

The third proportional to 5,998 and 8,993 is: 13,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998 : 8,993 = 8,993 : x
  2. Step 2: Convert to fraction form
    5,998/8,993 = 8,993/x
  3. Step 3: Cross multiply
    5,998x = 8,993 × 8,993
  4. Step 4: Simplify right side
    5,998x = 80,874,049
  5. Step 5: Solve for x
    x = 80,874,049/5,998
  6. Step 6: Final answer
    x = 13,483.50

Related Problems

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.