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Finding the Third Proportional to 6,995.25 and 15,221.25

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Solution

The third proportional to 6,995.25 and 15,221.25 is: 33,120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.25 : 15,221.25 = 15,221.25 : x
  2. Step 2: Convert to fraction form
    6,995.25/15,221.25 = 15,221.25/x
  3. Step 3: Cross multiply
    6,995.25x = 15,221.25 × 15,221.25
  4. Step 4: Simplify right side
    6,995.25x = 231,686,451.56
  5. Step 5: Solve for x
    x = 231,686,451.56/6,995.25
  6. Step 6: Final answer
    x = 33,120.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.