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Finding the Third Proportional to 1,135.27 and 2,449.69

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Solution

The third proportional to 1,135.27 and 2,449.69 is: 5,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,135.27 : 2,449.69 = 2,449.69 : x
  2. Step 2: Convert to fraction form
    1,135.27/2,449.69 = 2,449.69/x
  3. Step 3: Cross multiply
    1,135.27x = 2,449.69 × 2,449.69
  4. Step 4: Simplify right side
    1,135.27x = 6,000,968.85
  5. Step 5: Solve for x
    x = 6,000,968.85/1,135.27
  6. Step 6: Final answer
    x = 5,285.96

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Why These Related Problems?

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