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Finding the Third Proportional to 8,227.83 and 17,852.91

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Solution

The third proportional to 8,227.83 and 17,852.91 is: 38,737.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.83 : 17,852.91 = 17,852.91 : x
  2. Step 2: Convert to fraction form
    8,227.83/17,852.91 = 17,852.91/x
  3. Step 3: Cross multiply
    8,227.83x = 17,852.91 × 17,852.91
  4. Step 4: Simplify right side
    8,227.83x = 318,726,261.57
  5. Step 5: Solve for x
    x = 318,726,261.57/8,227.83
  6. Step 6: Final answer
    x = 38,737.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.