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Finding the Third Proportional to 22,951.27 and 48,657.80

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Solution

The third proportional to 22,951.27 and 48,657.80 is: 103,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.27 : 48,657.80 = 48,657.80 : x
  2. Step 2: Convert to fraction form
    22,951.27/48,657.80 = 48,657.80/x
  3. Step 3: Cross multiply
    22,951.27x = 48,657.80 × 48,657.80
  4. Step 4: Simplify right side
    22,951.27x = 2,367,581,196.73
  5. Step 5: Solve for x
    x = 2,367,581,196.73/22,951.27
  6. Step 6: Final answer
    x = 103,156.89

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.