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Finding the Third Proportional to 8,041.78 and 17,719.59

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Solution

The third proportional to 8,041.78 and 17,719.59 is: 39,044.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,041.78 : 17,719.59 = 17,719.59 : x
  2. Step 2: Convert to fraction form
    8,041.78/17,719.59 = 17,719.59/x
  3. Step 3: Cross multiply
    8,041.78x = 17,719.59 × 17,719.59
  4. Step 4: Simplify right side
    8,041.78x = 313,984,002.67
  5. Step 5: Solve for x
    x = 313,984,002.67/8,041.78
  6. Step 6: Final answer
    x = 39,044.09

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