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Finding the Third Proportional to 4,174.88 and 9,672.75

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Solution

The third proportional to 4,174.88 and 9,672.75 is: 22,410.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.88 : 9,672.75 = 9,672.75 : x
  2. Step 2: Convert to fraction form
    4,174.88/9,672.75 = 9,672.75/x
  3. Step 3: Cross multiply
    4,174.88x = 9,672.75 × 9,672.75
  4. Step 4: Simplify right side
    4,174.88x = 93,562,092.56
  5. Step 5: Solve for x
    x = 93,562,092.56/4,174.88
  6. Step 6: Final answer
    x = 22,410.75

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.