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Finding the Third Proportional to 22,493 and 53,721

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Solution

The third proportional to 22,493 and 53,721 is: 128,304.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,493 : 53,721 = 53,721 : x
  2. Step 2: Convert to fraction form
    22,493/53,721 = 53,721/x
  3. Step 3: Cross multiply
    22,493x = 53,721 × 53,721
  4. Step 4: Simplify right side
    22,493x = 2,885,945,841
  5. Step 5: Solve for x
    x = 2,885,945,841/22,493
  6. Step 6: Final answer
    x = 128,304.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.