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Finding the Third Proportional to 33,947.44 and 51,013.13

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Solution

The third proportional to 33,947.44 and 51,013.13 is: 76,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,947.44 : 51,013.13 = 51,013.13 : x
  2. Step 2: Convert to fraction form
    33,947.44/51,013.13 = 51,013.13/x
  3. Step 3: Cross multiply
    33,947.44x = 51,013.13 × 51,013.13
  4. Step 4: Simplify right side
    33,947.44x = 2,602,338,922.27
  5. Step 5: Solve for x
    x = 2,602,338,922.27/33,947.44
  6. Step 6: Final answer
    x = 76,657.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.