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Finding the Third Proportional to 2,016.14 and 2,716.03

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Solution

The third proportional to 2,016.14 and 2,716.03 is: 3,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,016.14 : 2,716.03 = 2,716.03 : x
  2. Step 2: Convert to fraction form
    2,016.14/2,716.03 = 2,716.03/x
  3. Step 3: Cross multiply
    2,016.14x = 2,716.03 × 2,716.03
  4. Step 4: Simplify right side
    2,016.14x = 7,376,825.75
  5. Step 5: Solve for x
    x = 7,376,825.75/2,016.14
  6. Step 6: Final answer
    x = 3,658.88

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.