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Finding the Third Proportional to 6,961 and 15,016

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Solution

The third proportional to 6,961 and 15,016 is: 32,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,961 : 15,016 = 15,016 : x
  2. Step 2: Convert to fraction form
    6,961/15,016 = 15,016/x
  3. Step 3: Cross multiply
    6,961x = 15,016 × 15,016
  4. Step 4: Simplify right side
    6,961x = 225,480,256
  5. Step 5: Solve for x
    x = 225,480,256/6,961
  6. Step 6: Final answer
    x = 32,391.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.