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Finding the Third Proportional to 20,870 and 44,707

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Solution

The third proportional to 20,870 and 44,707 is: 95,769.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870 : 44,707 = 44,707 : x
  2. Step 2: Convert to fraction form
    20,870/44,707 = 44,707/x
  3. Step 3: Cross multiply
    20,870x = 44,707 × 44,707
  4. Step 4: Simplify right side
    20,870x = 1,998,715,849
  5. Step 5: Solve for x
    x = 1,998,715,849/20,870
  6. Step 6: Final answer
    x = 95,769.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.