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Finding the Third Proportional to 8,199.75 and 17,976

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Solution

The third proportional to 8,199.75 and 17,976 is: 39,408.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.75 : 17,976 = 17,976 : x
  2. Step 2: Convert to fraction form
    8,199.75/17,976 = 17,976/x
  3. Step 3: Cross multiply
    8,199.75x = 17,976 × 17,976
  4. Step 4: Simplify right side
    8,199.75x = 323,136,576
  5. Step 5: Solve for x
    x = 323,136,576/8,199.75
  6. Step 6: Final answer
    x = 39,408.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.