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Finding the Third Proportional to 39,712 and 61,746

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Solution

The third proportional to 39,712 and 61,746 is: 96,005.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,712 : 61,746 = 61,746 : x
  2. Step 2: Convert to fraction form
    39,712/61,746 = 61,746/x
  3. Step 3: Cross multiply
    39,712x = 61,746 × 61,746
  4. Step 4: Simplify right side
    39,712x = 3,812,568,516
  5. Step 5: Solve for x
    x = 3,812,568,516/39,712
  6. Step 6: Final answer
    x = 96,005.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.