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Finding the Third Proportional to 31,988.25 and 47,046.38

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Solution

The third proportional to 31,988.25 and 47,046.38 is: 69,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988.25 : 47,046.38 = 47,046.38 : x
  2. Step 2: Convert to fraction form
    31,988.25/47,046.38 = 47,046.38/x
  3. Step 3: Cross multiply
    31,988.25x = 47,046.38 × 47,046.38
  4. Step 4: Simplify right side
    31,988.25x = 2,213,361,400.64
  5. Step 5: Solve for x
    x = 2,213,361,400.64/31,988.25
  6. Step 6: Final answer
    x = 69,192.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.