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Finding the Third Proportional to 2,103 and 3,742

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Solution

The third proportional to 2,103 and 3,742 is: 6,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103 : 3,742 = 3,742 : x
  2. Step 2: Convert to fraction form
    2,103/3,742 = 3,742/x
  3. Step 3: Cross multiply
    2,103x = 3,742 × 3,742
  4. Step 4: Simplify right side
    2,103x = 14,002,564
  5. Step 5: Solve for x
    x = 14,002,564/2,103
  6. Step 6: Final answer
    x = 6,658.38

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.