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Finding the Third Proportional to 33,471 and 69,716

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Solution

The third proportional to 33,471 and 69,716 is: 145,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471 : 69,716 = 69,716 : x
  2. Step 2: Convert to fraction form
    33,471/69,716 = 69,716/x
  3. Step 3: Cross multiply
    33,471x = 69,716 × 69,716
  4. Step 4: Simplify right side
    33,471x = 4,860,320,656
  5. Step 5: Solve for x
    x = 4,860,320,656/33,471
  6. Step 6: Final answer
    x = 145,209.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.