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Finding the Third Proportional to 3,111.75 and 5,717.25

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Solution

The third proportional to 3,111.75 and 5,717.25 is: 10,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,111.75 : 5,717.25 = 5,717.25 : x
  2. Step 2: Convert to fraction form
    3,111.75/5,717.25 = 5,717.25/x
  3. Step 3: Cross multiply
    3,111.75x = 5,717.25 × 5,717.25
  4. Step 4: Simplify right side
    3,111.75x = 32,686,947.56
  5. Step 5: Solve for x
    x = 32,686,947.56/3,111.75
  6. Step 6: Final answer
    x = 10,504.36

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.