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Finding the Third Proportional to 40,884.75 and 57,979.13

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Solution

The third proportional to 40,884.75 and 57,979.13 is: 82,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,884.75 : 57,979.13 = 57,979.13 : x
  2. Step 2: Convert to fraction form
    40,884.75/57,979.13 = 57,979.13/x
  3. Step 3: Cross multiply
    40,884.75x = 57,979.13 × 57,979.13
  4. Step 4: Simplify right side
    40,884.75x = 3,361,578,935.77
  5. Step 5: Solve for x
    x = 3,361,578,935.77/40,884.75
  6. Step 6: Final answer
    x = 82,220.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.