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Finding the Third Proportional to 20,134 and 28,742

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Solution

The third proportional to 20,134 and 28,742 is: 41,030.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,134 : 28,742 = 28,742 : x
  2. Step 2: Convert to fraction form
    20,134/28,742 = 28,742/x
  3. Step 3: Cross multiply
    20,134x = 28,742 × 28,742
  4. Step 4: Simplify right side
    20,134x = 826,102,564
  5. Step 5: Solve for x
    x = 826,102,564/20,134
  6. Step 6: Final answer
    x = 41,030.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.