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Finding the Third Proportional to 8,015.44 and 17,760.83

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Solution

The third proportional to 8,015.44 and 17,760.83 is: 39,354.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,015.44 : 17,760.83 = 17,760.83 : x
  2. Step 2: Convert to fraction form
    8,015.44/17,760.83 = 17,760.83/x
  3. Step 3: Cross multiply
    8,015.44x = 17,760.83 × 17,760.83
  4. Step 4: Simplify right side
    8,015.44x = 315,447,154.44
  5. Step 5: Solve for x
    x = 315,447,154.44/8,015.44
  6. Step 6: Final answer
    x = 39,354.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.