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Finding the Third Proportional to 22,792 and 49,468

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Solution

The third proportional to 22,792 and 49,468 is: 107,365.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,792 : 49,468 = 49,468 : x
  2. Step 2: Convert to fraction form
    22,792/49,468 = 49,468/x
  3. Step 3: Cross multiply
    22,792x = 49,468 × 49,468
  4. Step 4: Simplify right side
    22,792x = 2,447,083,024
  5. Step 5: Solve for x
    x = 2,447,083,024/22,792
  6. Step 6: Final answer
    x = 107,365.88

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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.