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Finding the Third Proportional to 22,785 and 49,721

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Solution

The third proportional to 22,785 and 49,721 is: 108,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785 : 49,721 = 49,721 : x
  2. Step 2: Convert to fraction form
    22,785/49,721 = 49,721/x
  3. Step 3: Cross multiply
    22,785x = 49,721 × 49,721
  4. Step 4: Simplify right side
    22,785x = 2,472,177,841
  5. Step 5: Solve for x
    x = 2,472,177,841/22,785
  6. Step 6: Final answer
    x = 108,500.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.