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Finding the Third Proportional to 1,251.56 and 2,523.38

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Solution

The third proportional to 1,251.56 and 2,523.38 is: 5,087.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.56 : 2,523.38 = 2,523.38 : x
  2. Step 2: Convert to fraction form
    1,251.56/2,523.38 = 2,523.38/x
  3. Step 3: Cross multiply
    1,251.56x = 2,523.38 × 2,523.38
  4. Step 4: Simplify right side
    1,251.56x = 6,367,421.39
  5. Step 5: Solve for x
    x = 6,367,421.39/1,251.56
  6. Step 6: Final answer
    x = 5,087.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.