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Finding the Third Proportional to 21,991 and 44,750

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Solution

The third proportional to 21,991 and 44,750 is: 91,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,991 : 44,750 = 44,750 : x
  2. Step 2: Convert to fraction form
    21,991/44,750 = 44,750/x
  3. Step 3: Cross multiply
    21,991x = 44,750 × 44,750
  4. Step 4: Simplify right side
    21,991x = 2,002,562,500
  5. Step 5: Solve for x
    x = 2,002,562,500/21,991
  6. Step 6: Final answer
    x = 91,062.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.