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Finding the Third Proportional to 41,384.25 and 64,067.20

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Solution

The third proportional to 41,384.25 and 64,067.20 is: 99,182.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,384.25 : 64,067.20 = 64,067.20 : x
  2. Step 2: Convert to fraction form
    41,384.25/64,067.20 = 64,067.20/x
  3. Step 3: Cross multiply
    41,384.25x = 64,067.20 × 64,067.20
  4. Step 4: Simplify right side
    41,384.25x = 4,104,606,516.26
  5. Step 5: Solve for x
    x = 4,104,606,516.26/41,384.25
  6. Step 6: Final answer
    x = 99,182.82

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.