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Finding the Third Proportional to 23,086 and 36,162

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Solution

The third proportional to 23,086 and 36,162 is: 56,644.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,086 : 36,162 = 36,162 : x
  2. Step 2: Convert to fraction form
    23,086/36,162 = 36,162/x
  3. Step 3: Cross multiply
    23,086x = 36,162 × 36,162
  4. Step 4: Simplify right side
    23,086x = 1,307,690,244
  5. Step 5: Solve for x
    x = 1,307,690,244/23,086
  6. Step 6: Final answer
    x = 56,644.30

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.