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Finding the Third Proportional to 2,005.88 and 4,138.88

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Solution

The third proportional to 2,005.88 and 4,138.88 is: 8,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 4,138.88 = 4,138.88 : x
  2. Step 2: Convert to fraction form
    2,005.88/4,138.88 = 4,138.88/x
  3. Step 3: Cross multiply
    2,005.88x = 4,138.88 × 4,138.88
  4. Step 4: Simplify right side
    2,005.88x = 17,130,286.27
  5. Step 5: Solve for x
    x = 17,130,286.27/2,005.88
  6. Step 6: Final answer
    x = 8,540.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.