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Finding the Third Proportional to 1,311.19 and 2,443.92

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Solution

The third proportional to 1,311.19 and 2,443.92 is: 4,555.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.19 : 2,443.92 = 2,443.92 : x
  2. Step 2: Convert to fraction form
    1,311.19/2,443.92 = 2,443.92/x
  3. Step 3: Cross multiply
    1,311.19x = 2,443.92 × 2,443.92
  4. Step 4: Simplify right side
    1,311.19x = 5,972,754.13
  5. Step 5: Solve for x
    x = 5,972,754.13/1,311.19
  6. Step 6: Final answer
    x = 4,555.23

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.