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Finding the Third Proportional to 33,339 and 51,687

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Solution

The third proportional to 33,339 and 51,687 is: 80,132.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,339 : 51,687 = 51,687 : x
  2. Step 2: Convert to fraction form
    33,339/51,687 = 51,687/x
  3. Step 3: Cross multiply
    33,339x = 51,687 × 51,687
  4. Step 4: Simplify right side
    33,339x = 2,671,545,969
  5. Step 5: Solve for x
    x = 2,671,545,969/33,339
  6. Step 6: Final answer
    x = 80,132.76

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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.