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Finding the Third Proportional to 20,711 and 44,922

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Solution

The third proportional to 20,711 and 44,922 is: 97,435.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,711 : 44,922 = 44,922 : x
  2. Step 2: Convert to fraction form
    20,711/44,922 = 44,922/x
  3. Step 3: Cross multiply
    20,711x = 44,922 × 44,922
  4. Step 4: Simplify right side
    20,711x = 2,017,986,084
  5. Step 5: Solve for x
    x = 2,017,986,084/20,711
  6. Step 6: Final answer
    x = 97,435.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.