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Finding the Third Proportional to 12,149 and 26,162

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Solution

The third proportional to 12,149 and 26,162 is: 56,337.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149 : 26,162 = 26,162 : x
  2. Step 2: Convert to fraction form
    12,149/26,162 = 26,162/x
  3. Step 3: Cross multiply
    12,149x = 26,162 × 26,162
  4. Step 4: Simplify right side
    12,149x = 684,450,244
  5. Step 5: Solve for x
    x = 684,450,244/12,149
  6. Step 6: Final answer
    x = 56,337.99

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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.