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Finding the Third Proportional to 3,508.31 and 7,715.25

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Solution

The third proportional to 3,508.31 and 7,715.25 is: 16,966.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.31 : 7,715.25 = 7,715.25 : x
  2. Step 2: Convert to fraction form
    3,508.31/7,715.25 = 7,715.25/x
  3. Step 3: Cross multiply
    3,508.31x = 7,715.25 × 7,715.25
  4. Step 4: Simplify right side
    3,508.31x = 59,525,082.56
  5. Step 5: Solve for x
    x = 59,525,082.56/3,508.31
  6. Step 6: Final answer
    x = 16,966.87

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.