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Finding the Third Proportional to 33,282 and 72,939

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Solution

The third proportional to 33,282 and 72,939 is: 159,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,282 : 72,939 = 72,939 : x
  2. Step 2: Convert to fraction form
    33,282/72,939 = 72,939/x
  3. Step 3: Cross multiply
    33,282x = 72,939 × 72,939
  4. Step 4: Simplify right side
    33,282x = 5,320,097,721
  5. Step 5: Solve for x
    x = 5,320,097,721/33,282
  6. Step 6: Final answer
    x = 159,849.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.