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Finding the Third Proportional to 3,820.13 and 9,257.73

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Solution

The third proportional to 3,820.13 and 9,257.73 is: 22,435.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.13 : 9,257.73 = 9,257.73 : x
  2. Step 2: Convert to fraction form
    3,820.13/9,257.73 = 9,257.73/x
  3. Step 3: Cross multiply
    3,820.13x = 9,257.73 × 9,257.73
  4. Step 4: Simplify right side
    3,820.13x = 85,705,573.43
  5. Step 5: Solve for x
    x = 85,705,573.43/3,820.13
  6. Step 6: Final answer
    x = 22,435.25

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.