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Finding the Third Proportional to 12,162 and 26,610

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Solution

The third proportional to 12,162 and 26,610 is: 58,221.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,162 : 26,610 = 26,610 : x
  2. Step 2: Convert to fraction form
    12,162/26,610 = 26,610/x
  3. Step 3: Cross multiply
    12,162x = 26,610 × 26,610
  4. Step 4: Simplify right side
    12,162x = 708,092,100
  5. Step 5: Solve for x
    x = 708,092,100/12,162
  6. Step 6: Final answer
    x = 58,221.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.