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Finding the Third Proportional to 22,494.38 and 48,657.38

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Solution

The third proportional to 22,494.38 and 48,657.38 is: 105,250.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,494.38 : 48,657.38 = 48,657.38 : x
  2. Step 2: Convert to fraction form
    22,494.38/48,657.38 = 48,657.38/x
  3. Step 3: Cross multiply
    22,494.38x = 48,657.38 × 48,657.38
  4. Step 4: Simplify right side
    22,494.38x = 2,367,540,141.89
  5. Step 5: Solve for x
    x = 2,367,540,141.89/22,494.38
  6. Step 6: Final answer
    x = 105,250.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.