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Finding the Third Proportional to 2,101.57 and 3,344.73

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Solution

The third proportional to 2,101.57 and 3,344.73 is: 5,323.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.57 : 3,344.73 = 3,344.73 : x
  2. Step 2: Convert to fraction form
    2,101.57/3,344.73 = 3,344.73/x
  3. Step 3: Cross multiply
    2,101.57x = 3,344.73 × 3,344.73
  4. Step 4: Simplify right side
    2,101.57x = 11,187,221.91
  5. Step 5: Solve for x
    x = 11,187,221.91/2,101.57
  6. Step 6: Final answer
    x = 5,323.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.