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Finding the Third Proportional to 4,195.13 and 11,034.56

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Solution

The third proportional to 4,195.13 and 11,034.56 is: 29,024.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.13 : 11,034.56 = 11,034.56 : x
  2. Step 2: Convert to fraction form
    4,195.13/11,034.56 = 11,034.56/x
  3. Step 3: Cross multiply
    4,195.13x = 11,034.56 × 11,034.56
  4. Step 4: Simplify right side
    4,195.13x = 121,761,569.57
  5. Step 5: Solve for x
    x = 121,761,569.57/4,195.13
  6. Step 6: Final answer
    x = 29,024.54

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.