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Finding the Third Proportional to 31,151.50 and 66,381.25

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Solution

The third proportional to 31,151.50 and 66,381.25 is: 141,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151.50 : 66,381.25 = 66,381.25 : x
  2. Step 2: Convert to fraction form
    31,151.50/66,381.25 = 66,381.25/x
  3. Step 3: Cross multiply
    31,151.50x = 66,381.25 × 66,381.25
  4. Step 4: Simplify right side
    31,151.50x = 4,406,470,351.56
  5. Step 5: Solve for x
    x = 4,406,470,351.56/31,151.50
  6. Step 6: Final answer
    x = 141,452.91

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.