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Finding the Third Proportional to 2,250.28 and 3,560.20

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Solution

The third proportional to 2,250.28 and 3,560.20 is: 5,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.28 : 3,560.20 = 3,560.20 : x
  2. Step 2: Convert to fraction form
    2,250.28/3,560.20 = 3,560.20/x
  3. Step 3: Cross multiply
    2,250.28x = 3,560.20 × 3,560.20
  4. Step 4: Simplify right side
    2,250.28x = 12,675,046.29
  5. Step 5: Solve for x
    x = 12,675,046.29/2,250.28
  6. Step 6: Final answer
    x = 5,632.65

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.