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Finding the Third Proportional to 39,327 and 62,301.75

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Solution

The third proportional to 39,327 and 62,301.75 is: 98,698.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,327 : 62,301.75 = 62,301.75 : x
  2. Step 2: Convert to fraction form
    39,327/62,301.75 = 62,301.75/x
  3. Step 3: Cross multiply
    39,327x = 62,301.75 × 62,301.75
  4. Step 4: Simplify right side
    39,327x = 3,881,508,053.06
  5. Step 5: Solve for x
    x = 3,881,508,053.06/39,327
  6. Step 6: Final answer
    x = 98,698.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.