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Finding the Third Proportional to 1,132.73 and 2,528.72

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Solution

The third proportional to 1,132.73 and 2,528.72 is: 5,645.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.73 : 2,528.72 = 2,528.72 : x
  2. Step 2: Convert to fraction form
    1,132.73/2,528.72 = 2,528.72/x
  3. Step 3: Cross multiply
    1,132.73x = 2,528.72 × 2,528.72
  4. Step 4: Simplify right side
    1,132.73x = 6,394,418.52
  5. Step 5: Solve for x
    x = 6,394,418.52/1,132.73
  6. Step 6: Final answer
    x = 5,645.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.