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Finding the Third Proportional to 7,986 and 11,151

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Solution

The third proportional to 7,986 and 11,151 is: 15,570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,986 : 11,151 = 11,151 : x
  2. Step 2: Convert to fraction form
    7,986/11,151 = 11,151/x
  3. Step 3: Cross multiply
    7,986x = 11,151 × 11,151
  4. Step 4: Simplify right side
    7,986x = 124,344,801
  5. Step 5: Solve for x
    x = 124,344,801/7,986
  6. Step 6: Final answer
    x = 15,570.35

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.