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Finding the Third Proportional to 41,964.38 and 85,867.13

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Solution

The third proportional to 41,964.38 and 85,867.13 is: 175,700.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,964.38 : 85,867.13 = 85,867.13 : x
  2. Step 2: Convert to fraction form
    41,964.38/85,867.13 = 85,867.13/x
  3. Step 3: Cross multiply
    41,964.38x = 85,867.13 × 85,867.13
  4. Step 4: Simplify right side
    41,964.38x = 7,373,163,155.77
  5. Step 5: Solve for x
    x = 7,373,163,155.77/41,964.38
  6. Step 6: Final answer
    x = 175,700.54

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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.