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Finding the Third Proportional to 22,761.38 and 49,674

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Solution

The third proportional to 22,761.38 and 49,674 is: 108,407.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761.38 : 49,674 = 49,674 : x
  2. Step 2: Convert to fraction form
    22,761.38/49,674 = 49,674/x
  3. Step 3: Cross multiply
    22,761.38x = 49,674 × 49,674
  4. Step 4: Simplify right side
    22,761.38x = 2,467,506,276
  5. Step 5: Solve for x
    x = 2,467,506,276/22,761.38
  6. Step 6: Final answer
    x = 108,407.61

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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.