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Finding the Third Proportional to 24,654 and 53,469

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Solution

The third proportional to 24,654 and 53,469 is: 115,962.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654 : 53,469 = 53,469 : x
  2. Step 2: Convert to fraction form
    24,654/53,469 = 53,469/x
  3. Step 3: Cross multiply
    24,654x = 53,469 × 53,469
  4. Step 4: Simplify right side
    24,654x = 2,858,933,961
  5. Step 5: Solve for x
    x = 2,858,933,961/24,654
  6. Step 6: Final answer
    x = 115,962.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.