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Finding the Third Proportional to 3,687 and 8,015.25

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Solution

The third proportional to 3,687 and 8,015.25 is: 17,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687 : 8,015.25 = 8,015.25 : x
  2. Step 2: Convert to fraction form
    3,687/8,015.25 = 8,015.25/x
  3. Step 3: Cross multiply
    3,687x = 8,015.25 × 8,015.25
  4. Step 4: Simplify right side
    3,687x = 64,244,232.56
  5. Step 5: Solve for x
    x = 64,244,232.56/3,687
  6. Step 6: Final answer
    x = 17,424.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.