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Finding the Third Proportional to 31,951.50 and 69,423

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Solution

The third proportional to 31,951.50 and 69,423 is: 150,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,951.50 : 69,423 = 69,423 : x
  2. Step 2: Convert to fraction form
    31,951.50/69,423 = 69,423/x
  3. Step 3: Cross multiply
    31,951.50x = 69,423 × 69,423
  4. Step 4: Simplify right side
    31,951.50x = 4,819,552,929
  5. Step 5: Solve for x
    x = 4,819,552,929/31,951.50
  6. Step 6: Final answer
    x = 150,839.65

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.