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Finding the Third Proportional to 8,232.94 and 17,761.88

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Solution

The third proportional to 8,232.94 and 17,761.88 is: 38,319.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.94 : 17,761.88 = 17,761.88 : x
  2. Step 2: Convert to fraction form
    8,232.94/17,761.88 = 17,761.88/x
  3. Step 3: Cross multiply
    8,232.94x = 17,761.88 × 17,761.88
  4. Step 4: Simplify right side
    8,232.94x = 315,484,203.52
  5. Step 5: Solve for x
    x = 315,484,203.52/8,232.94
  6. Step 6: Final answer
    x = 38,319.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.