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Finding the Third Proportional to 3,013.88 and 6,189.75

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Solution

The third proportional to 3,013.88 and 6,189.75 is: 12,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.88 : 6,189.75 = 6,189.75 : x
  2. Step 2: Convert to fraction form
    3,013.88/6,189.75 = 6,189.75/x
  3. Step 3: Cross multiply
    3,013.88x = 6,189.75 × 6,189.75
  4. Step 4: Simplify right side
    3,013.88x = 38,313,005.06
  5. Step 5: Solve for x
    x = 38,313,005.06/3,013.88
  6. Step 6: Final answer
    x = 12,712.21

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.