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Finding the Third Proportional to 1,138.22 and 1,809.56

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Solution

The third proportional to 1,138.22 and 1,809.56 is: 2,876.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.22 : 1,809.56 = 1,809.56 : x
  2. Step 2: Convert to fraction form
    1,138.22/1,809.56 = 1,809.56/x
  3. Step 3: Cross multiply
    1,138.22x = 1,809.56 × 1,809.56
  4. Step 4: Simplify right side
    1,138.22x = 3,274,516.44
  5. Step 5: Solve for x
    x = 3,274,516.44/1,138.22
  6. Step 6: Final answer
    x = 2,876.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.