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Finding the Third Proportional to 1,131.05 and 1,591.52

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Solution

The third proportional to 1,131.05 and 1,591.52 is: 2,239.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.05 : 1,591.52 = 1,591.52 : x
  2. Step 2: Convert to fraction form
    1,131.05/1,591.52 = 1,591.52/x
  3. Step 3: Cross multiply
    1,131.05x = 1,591.52 × 1,591.52
  4. Step 4: Simplify right side
    1,131.05x = 2,532,946.85
  5. Step 5: Solve for x
    x = 2,532,946.85/1,131.05
  6. Step 6: Final answer
    x = 2,239.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.