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Finding the Third Proportional to 22,758.47 and 49,685.91

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Solution

The third proportional to 22,758.47 and 49,685.91 is: 108,473.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.47 : 49,685.91 = 49,685.91 : x
  2. Step 2: Convert to fraction form
    22,758.47/49,685.91 = 49,685.91/x
  3. Step 3: Cross multiply
    22,758.47x = 49,685.91 × 49,685.91
  4. Step 4: Simplify right side
    22,758.47x = 2,468,689,279.88
  5. Step 5: Solve for x
    x = 2,468,689,279.88/22,758.47
  6. Step 6: Final answer
    x = 108,473.43

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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.