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Finding the Third Proportional to 31,882.36 and 42,851.53

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Solution

The third proportional to 31,882.36 and 42,851.53 is: 57,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,882.36 : 42,851.53 = 42,851.53 : x
  2. Step 2: Convert to fraction form
    31,882.36/42,851.53 = 42,851.53/x
  3. Step 3: Cross multiply
    31,882.36x = 42,851.53 × 42,851.53
  4. Step 4: Simplify right side
    31,882.36x = 1,836,253,730.47
  5. Step 5: Solve for x
    x = 1,836,253,730.47/31,882.36
  6. Step 6: Final answer
    x = 57,594.66

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.