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Finding the Third Proportional to 12,180 and 26,181

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Solution

The third proportional to 12,180 and 26,181 is: 56,276.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180 : 26,181 = 26,181 : x
  2. Step 2: Convert to fraction form
    12,180/26,181 = 26,181/x
  3. Step 3: Cross multiply
    12,180x = 26,181 × 26,181
  4. Step 4: Simplify right side
    12,180x = 685,444,761
  5. Step 5: Solve for x
    x = 685,444,761/12,180
  6. Step 6: Final answer
    x = 56,276.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.