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Finding the Third Proportional to 24,285 and 52,602

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Solution

The third proportional to 24,285 and 52,602 is: 113,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,285 : 52,602 = 52,602 : x
  2. Step 2: Convert to fraction form
    24,285/52,602 = 52,602/x
  3. Step 3: Cross multiply
    24,285x = 52,602 × 52,602
  4. Step 4: Simplify right side
    24,285x = 2,766,970,404
  5. Step 5: Solve for x
    x = 2,766,970,404/24,285
  6. Step 6: Final answer
    x = 113,937.43

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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.