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Finding the Third Proportional to 22,654.69 and 49,825.13

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Solution

The third proportional to 22,654.69 and 49,825.13 is: 109,581.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,654.69 : 49,825.13 = 49,825.13 : x
  2. Step 2: Convert to fraction form
    22,654.69/49,825.13 = 49,825.13/x
  3. Step 3: Cross multiply
    22,654.69x = 49,825.13 × 49,825.13
  4. Step 4: Simplify right side
    22,654.69x = 2,482,543,081.27
  5. Step 5: Solve for x
    x = 2,482,543,081.27/22,654.69
  6. Step 6: Final answer
    x = 109,581.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.