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Finding the Third Proportional to 48,513.38 and 72,471.38

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Solution

The third proportional to 48,513.38 and 72,471.38 is: 108,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,513.38 : 72,471.38 = 72,471.38 : x
  2. Step 2: Convert to fraction form
    48,513.38/72,471.38 = 72,471.38/x
  3. Step 3: Cross multiply
    48,513.38x = 72,471.38 × 72,471.38
  4. Step 4: Simplify right side
    48,513.38x = 5,252,100,194.39
  5. Step 5: Solve for x
    x = 5,252,100,194.39/48,513.38
  6. Step 6: Final answer
    x = 108,260.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.