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Finding the Third Proportional to 20,442.38 and 49,906.13

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Solution

The third proportional to 20,442.38 and 49,906.13 is: 121,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.38 : 49,906.13 = 49,906.13 : x
  2. Step 2: Convert to fraction form
    20,442.38/49,906.13 = 49,906.13/x
  3. Step 3: Cross multiply
    20,442.38x = 49,906.13 × 49,906.13
  4. Step 4: Simplify right side
    20,442.38x = 2,490,621,312.52
  5. Step 5: Solve for x
    x = 2,490,621,312.52/20,442.38
  6. Step 6: Final answer
    x = 121,836.20

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.