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Finding the Third Proportional to 12,061 and 26,187

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Solution

The third proportional to 12,061 and 26,187 is: 56,857.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061 : 26,187 = 26,187 : x
  2. Step 2: Convert to fraction form
    12,061/26,187 = 26,187/x
  3. Step 3: Cross multiply
    12,061x = 26,187 × 26,187
  4. Step 4: Simplify right side
    12,061x = 685,758,969
  5. Step 5: Solve for x
    x = 685,758,969/12,061
  6. Step 6: Final answer
    x = 56,857.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.