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Finding the Third Proportional to 61,418.25 and 71,472.38

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Solution

The third proportional to 61,418.25 and 71,472.38 is: 83,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,418.25 : 71,472.38 = 71,472.38 : x
  2. Step 2: Convert to fraction form
    61,418.25/71,472.38 = 71,472.38/x
  3. Step 3: Cross multiply
    61,418.25x = 71,472.38 × 71,472.38
  4. Step 4: Simplify right side
    61,418.25x = 5,108,300,388.14
  5. Step 5: Solve for x
    x = 5,108,300,388.14/61,418.25
  6. Step 6: Final answer
    x = 83,172.35

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.