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Finding the Third Proportional to 20,707 and 43,876

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Solution

The third proportional to 20,707 and 43,876 is: 92,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707 : 43,876 = 43,876 : x
  2. Step 2: Convert to fraction form
    20,707/43,876 = 43,876/x
  3. Step 3: Cross multiply
    20,707x = 43,876 × 43,876
  4. Step 4: Simplify right side
    20,707x = 1,925,103,376
  5. Step 5: Solve for x
    x = 1,925,103,376/20,707
  6. Step 6: Final answer
    x = 92,968.72

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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.