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Finding the Third Proportional to 33,691 and 51,561.75

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Solution

The third proportional to 33,691 and 51,561.75 is: 78,911.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691 : 51,561.75 = 51,561.75 : x
  2. Step 2: Convert to fraction form
    33,691/51,561.75 = 51,561.75/x
  3. Step 3: Cross multiply
    33,691x = 51,561.75 × 51,561.75
  4. Step 4: Simplify right side
    33,691x = 2,658,614,063.06
  5. Step 5: Solve for x
    x = 2,658,614,063.06/33,691
  6. Step 6: Final answer
    x = 78,911.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.