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Finding the Third Proportional to 22,721 and 49,654

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Solution

The third proportional to 22,721 and 49,654 is: 108,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,721 : 49,654 = 49,654 : x
  2. Step 2: Convert to fraction form
    22,721/49,654 = 49,654/x
  3. Step 3: Cross multiply
    22,721x = 49,654 × 49,654
  4. Step 4: Simplify right side
    22,721x = 2,465,519,716
  5. Step 5: Solve for x
    x = 2,465,519,716/22,721
  6. Step 6: Final answer
    x = 108,512.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.