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Finding the Third Proportional to 8,082 and 10,824.75

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Solution

The third proportional to 8,082 and 10,824.75 is: 14,498.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,082 : 10,824.75 = 10,824.75 : x
  2. Step 2: Convert to fraction form
    8,082/10,824.75 = 10,824.75/x
  3. Step 3: Cross multiply
    8,082x = 10,824.75 × 10,824.75
  4. Step 4: Simplify right side
    8,082x = 117,175,212.56
  5. Step 5: Solve for x
    x = 117,175,212.56/8,082
  6. Step 6: Final answer
    x = 14,498.29

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.