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Finding the Third Proportional to 4,452.38 and 9,618.38

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Solution

The third proportional to 4,452.38 and 9,618.38 is: 20,778.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,452.38 : 9,618.38 = 9,618.38 : x
  2. Step 2: Convert to fraction form
    4,452.38/9,618.38 = 9,618.38/x
  3. Step 3: Cross multiply
    4,452.38x = 9,618.38 × 9,618.38
  4. Step 4: Simplify right side
    4,452.38x = 92,513,137.64
  5. Step 5: Solve for x
    x = 92,513,137.64/4,452.38
  6. Step 6: Final answer
    x = 20,778.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.