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Finding the Third Proportional to 4,213.11 and 6,091.14

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Solution

The third proportional to 4,213.11 and 6,091.14 is: 8,806.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.11 : 6,091.14 = 6,091.14 : x
  2. Step 2: Convert to fraction form
    4,213.11/6,091.14 = 6,091.14/x
  3. Step 3: Cross multiply
    4,213.11x = 6,091.14 × 6,091.14
  4. Step 4: Simplify right side
    4,213.11x = 37,101,946.53
  5. Step 5: Solve for x
    x = 37,101,946.53/4,213.11
  6. Step 6: Final answer
    x = 8,806.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.