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Finding the Third Proportional to 24,654 and 38,623

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Solution

The third proportional to 24,654 and 38,623 is: 60,506.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,654 : 38,623 = 38,623 : x
  2. Step 2: Convert to fraction form
    24,654/38,623 = 38,623/x
  3. Step 3: Cross multiply
    24,654x = 38,623 × 38,623
  4. Step 4: Simplify right side
    24,654x = 1,491,736,129
  5. Step 5: Solve for x
    x = 1,491,736,129/24,654
  6. Step 6: Final answer
    x = 60,506.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.