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Finding the Third Proportional to 8,057.81 and 17,704.41

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Solution

The third proportional to 8,057.81 and 17,704.41 is: 38,899.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.81 : 17,704.41 = 17,704.41 : x
  2. Step 2: Convert to fraction form
    8,057.81/17,704.41 = 17,704.41/x
  3. Step 3: Cross multiply
    8,057.81x = 17,704.41 × 17,704.41
  4. Step 4: Simplify right side
    8,057.81x = 313,446,000.67
  5. Step 5: Solve for x
    x = 313,446,000.67/8,057.81
  6. Step 6: Final answer
    x = 38,899.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.