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Finding the Third Proportional to 4,418.30 and 9,617.48

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Solution

The third proportional to 4,418.30 and 9,617.48 is: 20,934.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,418.30 : 9,617.48 = 9,617.48 : x
  2. Step 2: Convert to fraction form
    4,418.30/9,617.48 = 9,617.48/x
  3. Step 3: Cross multiply
    4,418.30x = 9,617.48 × 9,617.48
  4. Step 4: Simplify right side
    4,418.30x = 92,496,005.70
  5. Step 5: Solve for x
    x = 92,496,005.70/4,418.30
  6. Step 6: Final answer
    x = 20,934.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.