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Finding the Third Proportional to 4,192.17 and 8,883.42

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Solution

The third proportional to 4,192.17 and 8,883.42 is: 18,824.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,192.17 : 8,883.42 = 8,883.42 : x
  2. Step 2: Convert to fraction form
    4,192.17/8,883.42 = 8,883.42/x
  3. Step 3: Cross multiply
    4,192.17x = 8,883.42 × 8,883.42
  4. Step 4: Simplify right side
    4,192.17x = 78,915,184.21
  5. Step 5: Solve for x
    x = 78,915,184.21/4,192.17
  6. Step 6: Final answer
    x = 18,824.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.