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Finding the Third Proportional to 24,662 and 54,592

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Solution

The third proportional to 24,662 and 54,592 is: 120,845.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,662 : 54,592 = 54,592 : x
  2. Step 2: Convert to fraction form
    24,662/54,592 = 54,592/x
  3. Step 3: Cross multiply
    24,662x = 54,592 × 54,592
  4. Step 4: Simplify right side
    24,662x = 2,980,286,464
  5. Step 5: Solve for x
    x = 2,980,286,464/24,662
  6. Step 6: Final answer
    x = 120,845.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.