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Finding the Third Proportional to 2,743.03 and 5,833.69

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Solution

The third proportional to 2,743.03 and 5,833.69 is: 12,406.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,743.03 : 5,833.69 = 5,833.69 : x
  2. Step 2: Convert to fraction form
    2,743.03/5,833.69 = 5,833.69/x
  3. Step 3: Cross multiply
    2,743.03x = 5,833.69 × 5,833.69
  4. Step 4: Simplify right side
    2,743.03x = 34,031,909.85
  5. Step 5: Solve for x
    x = 34,031,909.85/2,743.03
  6. Step 6: Final answer
    x = 12,406.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.