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Finding the Third Proportional to 22,284.38 and 48,942.19

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Solution

The third proportional to 22,284.38 and 48,942.19 is: 107,489.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,284.38 : 48,942.19 = 48,942.19 : x
  2. Step 2: Convert to fraction form
    22,284.38/48,942.19 = 48,942.19/x
  3. Step 3: Cross multiply
    22,284.38x = 48,942.19 × 48,942.19
  4. Step 4: Simplify right side
    22,284.38x = 2,395,337,717.29
  5. Step 5: Solve for x
    x = 2,395,337,717.29/22,284.38
  6. Step 6: Final answer
    x = 107,489.56

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Why These Related Problems?

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