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Finding the Third Proportional to 39,022 and 62,088

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Solution

The third proportional to 39,022 and 62,088 is: 98,788.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,022 : 62,088 = 62,088 : x
  2. Step 2: Convert to fraction form
    39,022/62,088 = 62,088/x
  3. Step 3: Cross multiply
    39,022x = 62,088 × 62,088
  4. Step 4: Simplify right side
    39,022x = 3,854,919,744
  5. Step 5: Solve for x
    x = 3,854,919,744/39,022
  6. Step 6: Final answer
    x = 98,788.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.