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Finding the Third Proportional to 31,908 and 43,314

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Solution

The third proportional to 31,908 and 43,314 is: 58,797.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,908 : 43,314 = 43,314 : x
  2. Step 2: Convert to fraction form
    31,908/43,314 = 43,314/x
  3. Step 3: Cross multiply
    31,908x = 43,314 × 43,314
  4. Step 4: Simplify right side
    31,908x = 1,876,102,596
  5. Step 5: Solve for x
    x = 1,876,102,596/31,908
  6. Step 6: Final answer
    x = 58,797.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.