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Finding the Third Proportional to 33,220.13 and 64,891.13

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Solution

The third proportional to 33,220.13 and 64,891.13 is: 126,756.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,220.13 : 64,891.13 = 64,891.13 : x
  2. Step 2: Convert to fraction form
    33,220.13/64,891.13 = 64,891.13/x
  3. Step 3: Cross multiply
    33,220.13x = 64,891.13 × 64,891.13
  4. Step 4: Simplify right side
    33,220.13x = 4,210,858,103.77
  5. Step 5: Solve for x
    x = 4,210,858,103.77/33,220.13
  6. Step 6: Final answer
    x = 126,756.24

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Why These Related Problems?

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