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Finding the Third Proportional to 21,211 and 44,743

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Solution

The third proportional to 21,211 and 44,743 is: 94,381.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211 : 44,743 = 44,743 : x
  2. Step 2: Convert to fraction form
    21,211/44,743 = 44,743/x
  3. Step 3: Cross multiply
    21,211x = 44,743 × 44,743
  4. Step 4: Simplify right side
    21,211x = 2,001,936,049
  5. Step 5: Solve for x
    x = 2,001,936,049/21,211
  6. Step 6: Final answer
    x = 94,381.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.