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Finding the Third Proportional to 39,945.75 and 62,109

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Solution

The third proportional to 39,945.75 and 62,109 is: 96,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,945.75 : 62,109 = 62,109 : x
  2. Step 2: Convert to fraction form
    39,945.75/62,109 = 62,109/x
  3. Step 3: Cross multiply
    39,945.75x = 62,109 × 62,109
  4. Step 4: Simplify right side
    39,945.75x = 3,857,527,881
  5. Step 5: Solve for x
    x = 3,857,527,881/39,945.75
  6. Step 6: Final answer
    x = 96,569.17

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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.