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Finding the Third Proportional to 39,988 and 59,762

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Solution

The third proportional to 39,988 and 59,762 is: 89,314.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,988 : 59,762 = 59,762 : x
  2. Step 2: Convert to fraction form
    39,988/59,762 = 59,762/x
  3. Step 3: Cross multiply
    39,988x = 59,762 × 59,762
  4. Step 4: Simplify right side
    39,988x = 3,571,496,644
  5. Step 5: Solve for x
    x = 3,571,496,644/39,988
  6. Step 6: Final answer
    x = 89,314.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.