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Finding the Third Proportional to 3,394.69 and 6,138.84

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Solution

The third proportional to 3,394.69 and 6,138.84 is: 11,101.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.69 : 6,138.84 = 6,138.84 : x
  2. Step 2: Convert to fraction form
    3,394.69/6,138.84 = 6,138.84/x
  3. Step 3: Cross multiply
    3,394.69x = 6,138.84 × 6,138.84
  4. Step 4: Simplify right side
    3,394.69x = 37,685,402.59
  5. Step 5: Solve for x
    x = 37,685,402.59/3,394.69
  6. Step 6: Final answer
    x = 11,101.29

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.