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Finding the Third Proportional to 6,747.75 and 10,360.13

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Solution

The third proportional to 6,747.75 and 10,360.13 is: 15,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.75 : 10,360.13 = 10,360.13 : x
  2. Step 2: Convert to fraction form
    6,747.75/10,360.13 = 10,360.13/x
  3. Step 3: Cross multiply
    6,747.75x = 10,360.13 × 10,360.13
  4. Step 4: Simplify right side
    6,747.75x = 107,332,190.02
  5. Step 5: Solve for x
    x = 107,332,190.02/6,747.75
  6. Step 6: Final answer
    x = 15,906.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.