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Finding the Third Proportional to 33,230 and 44,769

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Solution

The third proportional to 33,230 and 44,769 is: 60,314.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230 : 44,769 = 44,769 : x
  2. Step 2: Convert to fraction form
    33,230/44,769 = 44,769/x
  3. Step 3: Cross multiply
    33,230x = 44,769 × 44,769
  4. Step 4: Simplify right side
    33,230x = 2,004,263,361
  5. Step 5: Solve for x
    x = 2,004,263,361/33,230
  6. Step 6: Final answer
    x = 60,314.88

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.