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Finding the Third Proportional to 5,100.75 and 11,917.13

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Solution

The third proportional to 5,100.75 and 11,917.13 is: 27,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.75 : 11,917.13 = 11,917.13 : x
  2. Step 2: Convert to fraction form
    5,100.75/11,917.13 = 11,917.13/x
  3. Step 3: Cross multiply
    5,100.75x = 11,917.13 × 11,917.13
  4. Step 4: Simplify right side
    5,100.75x = 142,017,868.27
  5. Step 5: Solve for x
    x = 142,017,868.27/5,100.75
  6. Step 6: Final answer
    x = 27,842.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.