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Finding the Third Proportional to 33,108.75 and 64,531.69

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Solution

The third proportional to 33,108.75 and 64,531.69 is: 125,777.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,108.75 : 64,531.69 = 64,531.69 : x
  2. Step 2: Convert to fraction form
    33,108.75/64,531.69 = 64,531.69/x
  3. Step 3: Cross multiply
    33,108.75x = 64,531.69 × 64,531.69
  4. Step 4: Simplify right side
    33,108.75x = 4,164,338,691.60
  5. Step 5: Solve for x
    x = 4,164,338,691.60/33,108.75
  6. Step 6: Final answer
    x = 125,777.59

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.