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Finding the Third Proportional to 23,601.38 and 48,387.38

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Solution

The third proportional to 23,601.38 and 48,387.38 is: 99,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,601.38 : 48,387.38 = 48,387.38 : x
  2. Step 2: Convert to fraction form
    23,601.38/48,387.38 = 48,387.38/x
  3. Step 3: Cross multiply
    23,601.38x = 48,387.38 × 48,387.38
  4. Step 4: Simplify right side
    23,601.38x = 2,341,338,059.39
  5. Step 5: Solve for x
    x = 2,341,338,059.39/23,601.38
  6. Step 6: Final answer
    x = 99,203.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.