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Finding the Third Proportional to 22,866 and 49,377

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Solution

The third proportional to 22,866 and 49,377 is: 106,625.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,866 : 49,377 = 49,377 : x
  2. Step 2: Convert to fraction form
    22,866/49,377 = 49,377/x
  3. Step 3: Cross multiply
    22,866x = 49,377 × 49,377
  4. Step 4: Simplify right side
    22,866x = 2,438,088,129
  5. Step 5: Solve for x
    x = 2,438,088,129/22,866
  6. Step 6: Final answer
    x = 106,625.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.