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Finding the Third Proportional to 39,725 and 61,931

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Solution

The third proportional to 39,725 and 61,931 is: 96,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,725 : 61,931 = 61,931 : x
  2. Step 2: Convert to fraction form
    39,725/61,931 = 61,931/x
  3. Step 3: Cross multiply
    39,725x = 61,931 × 61,931
  4. Step 4: Simplify right side
    39,725x = 3,835,448,761
  5. Step 5: Solve for x
    x = 3,835,448,761/39,725
  6. Step 6: Final answer
    x = 96,550.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.