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Finding the Third Proportional to 5,715.56 and 8,674.59

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Solution

The third proportional to 5,715.56 and 8,674.59 is: 13,165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.56 : 8,674.59 = 8,674.59 : x
  2. Step 2: Convert to fraction form
    5,715.56/8,674.59 = 8,674.59/x
  3. Step 3: Cross multiply
    5,715.56x = 8,674.59 × 8,674.59
  4. Step 4: Simplify right side
    5,715.56x = 75,248,576.73
  5. Step 5: Solve for x
    x = 75,248,576.73/5,715.56
  6. Step 6: Final answer
    x = 13,165.56

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.