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Finding the Third Proportional to 31,332 and 42,966

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Solution

The third proportional to 31,332 and 42,966 is: 58,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,332 : 42,966 = 42,966 : x
  2. Step 2: Convert to fraction form
    31,332/42,966 = 42,966/x
  3. Step 3: Cross multiply
    31,332x = 42,966 × 42,966
  4. Step 4: Simplify right side
    31,332x = 1,846,077,156
  5. Step 5: Solve for x
    x = 1,846,077,156/31,332
  6. Step 6: Final answer
    x = 58,919.86

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.