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Finding the Third Proportional to 33,374.53 and 51,976.69

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Solution

The third proportional to 33,374.53 and 51,976.69 is: 80,947.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,374.53 : 51,976.69 = 51,976.69 : x
  2. Step 2: Convert to fraction form
    33,374.53/51,976.69 = 51,976.69/x
  3. Step 3: Cross multiply
    33,374.53x = 51,976.69 × 51,976.69
  4. Step 4: Simplify right side
    33,374.53x = 2,701,576,043.47
  5. Step 5: Solve for x
    x = 2,701,576,043.47/33,374.53
  6. Step 6: Final answer
    x = 80,947.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.