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Finding the Third Proportional to 1,138.22 and 2,449.41

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Solution

The third proportional to 1,138.22 and 2,449.41 is: 5,271.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.22 : 2,449.41 = 2,449.41 : x
  2. Step 2: Convert to fraction form
    1,138.22/2,449.41 = 2,449.41/x
  3. Step 3: Cross multiply
    1,138.22x = 2,449.41 × 2,449.41
  4. Step 4: Simplify right side
    1,138.22x = 5,999,590.98
  5. Step 5: Solve for x
    x = 5,999,590.98/1,138.22
  6. Step 6: Final answer
    x = 5,271.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.