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Finding the Third Proportional to 5,716.75 and 12,458.75

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Solution

The third proportional to 5,716.75 and 12,458.75 is: 27,151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.75 : 12,458.75 = 12,458.75 : x
  2. Step 2: Convert to fraction form
    5,716.75/12,458.75 = 12,458.75/x
  3. Step 3: Cross multiply
    5,716.75x = 12,458.75 × 12,458.75
  4. Step 4: Simplify right side
    5,716.75x = 155,220,451.56
  5. Step 5: Solve for x
    x = 155,220,451.56/5,716.75
  6. Step 6: Final answer
    x = 27,151.87

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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.