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Finding the Third Proportional to 12,086 and 28,241

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Solution

The third proportional to 12,086 and 28,241 is: 65,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086 : 28,241 = 28,241 : x
  2. Step 2: Convert to fraction form
    12,086/28,241 = 28,241/x
  3. Step 3: Cross multiply
    12,086x = 28,241 × 28,241
  4. Step 4: Simplify right side
    12,086x = 797,554,081
  5. Step 5: Solve for x
    x = 797,554,081/12,086
  6. Step 6: Final answer
    x = 65,989.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.