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Finding the Third Proportional to 1,884.20 and 4,144.29

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Solution

The third proportional to 1,884.20 and 4,144.29 is: 9,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.20 : 4,144.29 = 4,144.29 : x
  2. Step 2: Convert to fraction form
    1,884.20/4,144.29 = 4,144.29/x
  3. Step 3: Cross multiply
    1,884.20x = 4,144.29 × 4,144.29
  4. Step 4: Simplify right side
    1,884.20x = 17,175,131.83
  5. Step 5: Solve for x
    x = 17,175,131.83/1,884.20
  6. Step 6: Final answer
    x = 9,115.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.