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Finding the Third Proportional to 1,226.71 and 2,491.38

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Solution

The third proportional to 1,226.71 and 2,491.38 is: 5,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.71 : 2,491.38 = 2,491.38 : x
  2. Step 2: Convert to fraction form
    1,226.71/2,491.38 = 2,491.38/x
  3. Step 3: Cross multiply
    1,226.71x = 2,491.38 × 2,491.38
  4. Step 4: Simplify right side
    1,226.71x = 6,206,988.32
  5. Step 5: Solve for x
    x = 6,206,988.32/1,226.71
  6. Step 6: Final answer
    x = 5,059.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.