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Finding the Third Proportional to 1,282.91 and 2,766.13

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Solution

The third proportional to 1,282.91 and 2,766.13 is: 5,964.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.91 : 2,766.13 = 2,766.13 : x
  2. Step 2: Convert to fraction form
    1,282.91/2,766.13 = 2,766.13/x
  3. Step 3: Cross multiply
    1,282.91x = 2,766.13 × 2,766.13
  4. Step 4: Simplify right side
    1,282.91x = 7,651,447.52
  5. Step 5: Solve for x
    x = 7,651,447.52/1,282.91
  6. Step 6: Final answer
    x = 5,964.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.