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Finding the Third Proportional to 33,230.25 and 64,818.56

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Solution

The third proportional to 33,230.25 and 64,818.56 is: 126,434.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,230.25 : 64,818.56 = 64,818.56 : x
  2. Step 2: Convert to fraction form
    33,230.25/64,818.56 = 64,818.56/x
  3. Step 3: Cross multiply
    33,230.25x = 64,818.56 × 64,818.56
  4. Step 4: Simplify right side
    33,230.25x = 4,201,446,044.57
  5. Step 5: Solve for x
    x = 4,201,446,044.57/33,230.25
  6. Step 6: Final answer
    x = 126,434.38

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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.