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Finding the Third Proportional to 7,082.25 and 9,900.75

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Solution

The third proportional to 7,082.25 and 9,900.75 is: 13,840.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,082.25 : 9,900.75 = 9,900.75 : x
  2. Step 2: Convert to fraction form
    7,082.25/9,900.75 = 9,900.75/x
  3. Step 3: Cross multiply
    7,082.25x = 9,900.75 × 9,900.75
  4. Step 4: Simplify right side
    7,082.25x = 98,024,850.56
  5. Step 5: Solve for x
    x = 98,024,850.56/7,082.25
  6. Step 6: Final answer
    x = 13,840.92

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.