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Finding the Third Proportional to 31,932 and 50,706

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Solution

The third proportional to 31,932 and 50,706 is: 80,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,932 : 50,706 = 50,706 : x
  2. Step 2: Convert to fraction form
    31,932/50,706 = 50,706/x
  3. Step 3: Cross multiply
    31,932x = 50,706 × 50,706
  4. Step 4: Simplify right side
    31,932x = 2,571,098,436
  5. Step 5: Solve for x
    x = 2,571,098,436/31,932
  6. Step 6: Final answer
    x = 80,517.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.