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Finding the Third Proportional to 31,891.25 and 69,523.25

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Solution

The third proportional to 31,891.25 and 69,523.25 is: 151,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,891.25 : 69,523.25 = 69,523.25 : x
  2. Step 2: Convert to fraction form
    31,891.25/69,523.25 = 69,523.25/x
  3. Step 3: Cross multiply
    31,891.25x = 69,523.25 × 69,523.25
  4. Step 4: Simplify right side
    31,891.25x = 4,833,482,290.56
  5. Step 5: Solve for x
    x = 4,833,482,290.56/31,891.25
  6. Step 6: Final answer
    x = 151,561.39

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.