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Finding the Third Proportional to 22,540 and 48,402

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Solution

The third proportional to 22,540 and 48,402 is: 103,937.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,540 : 48,402 = 48,402 : x
  2. Step 2: Convert to fraction form
    22,540/48,402 = 48,402/x
  3. Step 3: Cross multiply
    22,540x = 48,402 × 48,402
  4. Step 4: Simplify right side
    22,540x = 2,342,753,604
  5. Step 5: Solve for x
    x = 2,342,753,604/22,540
  6. Step 6: Final answer
    x = 103,937.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.