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Finding the Third Proportional to 7,215.75 and 10,844.25

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Solution

The third proportional to 7,215.75 and 10,844.25 is: 16,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,215.75 : 10,844.25 = 10,844.25 : x
  2. Step 2: Convert to fraction form
    7,215.75/10,844.25 = 10,844.25/x
  3. Step 3: Cross multiply
    7,215.75x = 10,844.25 × 10,844.25
  4. Step 4: Simplify right side
    7,215.75x = 117,597,758.06
  5. Step 5: Solve for x
    x = 117,597,758.06/7,215.75
  6. Step 6: Final answer
    x = 16,297.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.