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Finding the Third Proportional to 15,761.25 and 34,296.75

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Solution

The third proportional to 15,761.25 and 34,296.75 is: 74,630.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,761.25 : 34,296.75 = 34,296.75 : x
  2. Step 2: Convert to fraction form
    15,761.25/34,296.75 = 34,296.75/x
  3. Step 3: Cross multiply
    15,761.25x = 34,296.75 × 34,296.75
  4. Step 4: Simplify right side
    15,761.25x = 1,176,267,060.56
  5. Step 5: Solve for x
    x = 1,176,267,060.56/15,761.25
  6. Step 6: Final answer
    x = 74,630.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.