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Finding the Third Proportional to 20,424 and 44,859

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Solution

The third proportional to 20,424 and 44,859 is: 98,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,424 : 44,859 = 44,859 : x
  2. Step 2: Convert to fraction form
    20,424/44,859 = 44,859/x
  3. Step 3: Cross multiply
    20,424x = 44,859 × 44,859
  4. Step 4: Simplify right side
    20,424x = 2,012,329,881
  5. Step 5: Solve for x
    x = 2,012,329,881/20,424
  6. Step 6: Final answer
    x = 98,527.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.