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Finding the Third Proportional to 11,034.75 and 14,168.25

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Solution

The third proportional to 11,034.75 and 14,168.25 is: 18,191.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.75 : 14,168.25 = 14,168.25 : x
  2. Step 2: Convert to fraction form
    11,034.75/14,168.25 = 14,168.25/x
  3. Step 3: Cross multiply
    11,034.75x = 14,168.25 × 14,168.25
  4. Step 4: Simplify right side
    11,034.75x = 200,739,308.06
  5. Step 5: Solve for x
    x = 200,739,308.06/11,034.75
  6. Step 6: Final answer
    x = 18,191.56

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.