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Finding the Third Proportional to 33,481 and 51,842

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Solution

The third proportional to 33,481 and 51,842 is: 80,272.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,481 : 51,842 = 51,842 : x
  2. Step 2: Convert to fraction form
    33,481/51,842 = 51,842/x
  3. Step 3: Cross multiply
    33,481x = 51,842 × 51,842
  4. Step 4: Simplify right side
    33,481x = 2,687,592,964
  5. Step 5: Solve for x
    x = 2,687,592,964/33,481
  6. Step 6: Final answer
    x = 80,272.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.