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Finding the Third Proportional to 31,952.50 and 69,425

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Solution

The third proportional to 31,952.50 and 69,425 is: 150,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,952.50 : 69,425 = 69,425 : x
  2. Step 2: Convert to fraction form
    31,952.50/69,425 = 69,425/x
  3. Step 3: Cross multiply
    31,952.50x = 69,425 × 69,425
  4. Step 4: Simplify right side
    31,952.50x = 4,819,830,625
  5. Step 5: Solve for x
    x = 4,819,830,625/31,952.50
  6. Step 6: Final answer
    x = 150,843.62

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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.