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Finding the Third Proportional to 4,454.75 and 9,668.38

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Solution

The third proportional to 4,454.75 and 9,668.38 is: 20,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,454.75 : 9,668.38 = 9,668.38 : x
  2. Step 2: Convert to fraction form
    4,454.75/9,668.38 = 9,668.38/x
  3. Step 3: Cross multiply
    4,454.75x = 9,668.38 × 9,668.38
  4. Step 4: Simplify right side
    4,454.75x = 93,477,475.14
  5. Step 5: Solve for x
    x = 93,477,475.14/4,454.75
  6. Step 6: Final answer
    x = 20,983.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.