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Finding the Third Proportional to 62,463 and 82,008

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Solution

The third proportional to 62,463 and 82,008 is: 107,668.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,463 : 82,008 = 82,008 : x
  2. Step 2: Convert to fraction form
    62,463/82,008 = 82,008/x
  3. Step 3: Cross multiply
    62,463x = 82,008 × 82,008
  4. Step 4: Simplify right side
    62,463x = 6,725,312,064
  5. Step 5: Solve for x
    x = 6,725,312,064/62,463
  6. Step 6: Final answer
    x = 107,668.73

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.