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Finding the Third Proportional to 22,772 and 49,688

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Solution

The third proportional to 22,772 and 49,688 is: 108,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,772 : 49,688 = 49,688 : x
  2. Step 2: Convert to fraction form
    22,772/49,688 = 49,688/x
  3. Step 3: Cross multiply
    22,772x = 49,688 × 49,688
  4. Step 4: Simplify right side
    22,772x = 2,468,897,344
  5. Step 5: Solve for x
    x = 2,468,897,344/22,772
  6. Step 6: Final answer
    x = 108,418.12

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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.