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Finding the Third Proportional to 1,363.22 and 2,096.72

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Solution

The third proportional to 1,363.22 and 2,096.72 is: 3,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.22 : 2,096.72 = 2,096.72 : x
  2. Step 2: Convert to fraction form
    1,363.22/2,096.72 = 2,096.72/x
  3. Step 3: Cross multiply
    1,363.22x = 2,096.72 × 2,096.72
  4. Step 4: Simplify right side
    1,363.22x = 4,396,229.52
  5. Step 5: Solve for x
    x = 4,396,229.52/1,363.22
  6. Step 6: Final answer
    x = 3,224.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.