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Finding the Third Proportional to 13,377 and 20,742

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Solution

The third proportional to 13,377 and 20,742 is: 32,161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,377 : 20,742 = 20,742 : x
  2. Step 2: Convert to fraction form
    13,377/20,742 = 20,742/x
  3. Step 3: Cross multiply
    13,377x = 20,742 × 20,742
  4. Step 4: Simplify right side
    13,377x = 430,230,564
  5. Step 5: Solve for x
    x = 430,230,564/13,377
  6. Step 6: Final answer
    x = 32,161.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.