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Finding the Third Proportional to 40,569.75 and 62,397

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Solution

The third proportional to 40,569.75 and 62,397 is: 95,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,569.75 : 62,397 = 62,397 : x
  2. Step 2: Convert to fraction form
    40,569.75/62,397 = 62,397/x
  3. Step 3: Cross multiply
    40,569.75x = 62,397 × 62,397
  4. Step 4: Simplify right side
    40,569.75x = 3,893,385,609
  5. Step 5: Solve for x
    x = 3,893,385,609/40,569.75
  6. Step 6: Final answer
    x = 95,967.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.