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Finding the Third Proportional to 3,102.75 and 6,887.25

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Solution

The third proportional to 3,102.75 and 6,887.25 is: 15,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.75 : 6,887.25 = 6,887.25 : x
  2. Step 2: Convert to fraction form
    3,102.75/6,887.25 = 6,887.25/x
  3. Step 3: Cross multiply
    3,102.75x = 6,887.25 × 6,887.25
  4. Step 4: Simplify right side
    3,102.75x = 47,434,212.56
  5. Step 5: Solve for x
    x = 47,434,212.56/3,102.75
  6. Step 6: Final answer
    x = 15,287.80

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.