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Finding the Third Proportional to 3,884.20 and 8,645.48

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Solution

The third proportional to 3,884.20 and 8,645.48 is: 19,243.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.20 : 8,645.48 = 8,645.48 : x
  2. Step 2: Convert to fraction form
    3,884.20/8,645.48 = 8,645.48/x
  3. Step 3: Cross multiply
    3,884.20x = 8,645.48 × 8,645.48
  4. Step 4: Simplify right side
    3,884.20x = 74,744,400.08
  5. Step 5: Solve for x
    x = 74,744,400.08/3,884.20
  6. Step 6: Final answer
    x = 19,243.17

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.