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Finding the Third Proportional to 40,854.38 and 64,195.88

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Solution

The third proportional to 40,854.38 and 64,195.88 is: 100,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,854.38 : 64,195.88 = 64,195.88 : x
  2. Step 2: Convert to fraction form
    40,854.38/64,195.88 = 64,195.88/x
  3. Step 3: Cross multiply
    40,854.38x = 64,195.88 × 64,195.88
  4. Step 4: Simplify right side
    40,854.38x = 4,121,110,367.02
  5. Step 5: Solve for x
    x = 4,121,110,367.02/40,854.38
  6. Step 6: Final answer
    x = 100,873.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.