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Finding the Third Proportional to 6,414.75 and 13,843.13

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Solution

The third proportional to 6,414.75 and 13,843.13 is: 29,873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.75 : 13,843.13 = 13,843.13 : x
  2. Step 2: Convert to fraction form
    6,414.75/13,843.13 = 13,843.13/x
  3. Step 3: Cross multiply
    6,414.75x = 13,843.13 × 13,843.13
  4. Step 4: Simplify right side
    6,414.75x = 191,632,109.77
  5. Step 5: Solve for x
    x = 191,632,109.77/6,414.75
  6. Step 6: Final answer
    x = 29,873.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.