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Finding the Third Proportional to 31,498.88 and 43,390.69

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Solution

The third proportional to 31,498.88 and 43,390.69 is: 59,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498.88 : 43,390.69 = 43,390.69 : x
  2. Step 2: Convert to fraction form
    31,498.88/43,390.69 = 43,390.69/x
  3. Step 3: Cross multiply
    31,498.88x = 43,390.69 × 43,390.69
  4. Step 4: Simplify right side
    31,498.88x = 1,882,751,761.72
  5. Step 5: Solve for x
    x = 1,882,751,761.72/31,498.88
  6. Step 6: Final answer
    x = 59,772.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.