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Finding the Third Proportional to 20,157 and 42,743

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Solution

The third proportional to 20,157 and 42,743 is: 90,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,157 : 42,743 = 42,743 : x
  2. Step 2: Convert to fraction form
    20,157/42,743 = 42,743/x
  3. Step 3: Cross multiply
    20,157x = 42,743 × 42,743
  4. Step 4: Simplify right side
    20,157x = 1,826,964,049
  5. Step 5: Solve for x
    x = 1,826,964,049/20,157
  6. Step 6: Final answer
    x = 90,636.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.