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Finding the Third Proportional to 1,134 and 2,493.28

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Solution

The third proportional to 1,134 and 2,493.28 is: 5,481.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134 : 2,493.28 = 2,493.28 : x
  2. Step 2: Convert to fraction form
    1,134/2,493.28 = 2,493.28/x
  3. Step 3: Cross multiply
    1,134x = 2,493.28 × 2,493.28
  4. Step 4: Simplify right side
    1,134x = 6,216,451.39
  5. Step 5: Solve for x
    x = 6,216,451.39/1,134
  6. Step 6: Final answer
    x = 5,481.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.