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Finding the Third Proportional to 15,591.94 and 34,297.31

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Solution

The third proportional to 15,591.94 and 34,297.31 is: 75,443.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,591.94 : 34,297.31 = 34,297.31 : x
  2. Step 2: Convert to fraction form
    15,591.94/34,297.31 = 34,297.31/x
  3. Step 3: Cross multiply
    15,591.94x = 34,297.31 × 34,297.31
  4. Step 4: Simplify right side
    15,591.94x = 1,176,305,644.72
  5. Step 5: Solve for x
    x = 1,176,305,644.72/15,591.94
  6. Step 6: Final answer
    x = 75,443.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.