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Finding the Third Proportional to 12,166 and 26,057

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Solution

The third proportional to 12,166 and 26,057 is: 55,808.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,166 : 26,057 = 26,057 : x
  2. Step 2: Convert to fraction form
    12,166/26,057 = 26,057/x
  3. Step 3: Cross multiply
    12,166x = 26,057 × 26,057
  4. Step 4: Simplify right side
    12,166x = 678,967,249
  5. Step 5: Solve for x
    x = 678,967,249/12,166
  6. Step 6: Final answer
    x = 55,808.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.