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Finding the Third Proportional to 31,950 and 69,473.25

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Solution

The third proportional to 31,950 and 69,473.25 is: 151,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,950 : 69,473.25 = 69,473.25 : x
  2. Step 2: Convert to fraction form
    31,950/69,473.25 = 69,473.25/x
  3. Step 3: Cross multiply
    31,950x = 69,473.25 × 69,473.25
  4. Step 4: Simplify right side
    31,950x = 4,826,532,465.56
  5. Step 5: Solve for x
    x = 4,826,532,465.56/31,950
  6. Step 6: Final answer
    x = 151,065.18

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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.