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Finding the Third Proportional to 742.92 and 1,633.92

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Solution

The third proportional to 742.92 and 1,633.92 is: 3,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.92 : 1,633.92 = 1,633.92 : x
  2. Step 2: Convert to fraction form
    742.92/1,633.92 = 1,633.92/x
  3. Step 3: Cross multiply
    742.92x = 1,633.92 × 1,633.92
  4. Step 4: Simplify right side
    742.92x = 2,669,700.69
  5. Step 5: Solve for x
    x = 2,669,700.69/742.92
  6. Step 6: Final answer
    x = 3,593.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.