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Finding the Third Proportional to 40,097.53 and 63,067.36

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Solution

The third proportional to 40,097.53 and 63,067.36 is: 99,195.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,097.53 : 63,067.36 = 63,067.36 : x
  2. Step 2: Convert to fraction form
    40,097.53/63,067.36 = 63,067.36/x
  3. Step 3: Cross multiply
    40,097.53x = 63,067.36 × 63,067.36
  4. Step 4: Simplify right side
    40,097.53x = 3,977,491,818.54
  5. Step 5: Solve for x
    x = 3,977,491,818.54/40,097.53
  6. Step 6: Final answer
    x = 99,195.43

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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.