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Finding the Third Proportional to 4,191.88 and 8,728.75

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Solution

The third proportional to 4,191.88 and 8,728.75 is: 18,175.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,191.88 : 8,728.75 = 8,728.75 : x
  2. Step 2: Convert to fraction form
    4,191.88/8,728.75 = 8,728.75/x
  3. Step 3: Cross multiply
    4,191.88x = 8,728.75 × 8,728.75
  4. Step 4: Simplify right side
    4,191.88x = 76,191,076.56
  5. Step 5: Solve for x
    x = 76,191,076.56/4,191.88
  6. Step 6: Final answer
    x = 18,175.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.