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Finding the Third Proportional to 18,182 and 38,011

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Solution

The third proportional to 18,182 and 38,011 is: 79,465.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,182 : 38,011 = 38,011 : x
  2. Step 2: Convert to fraction form
    18,182/38,011 = 38,011/x
  3. Step 3: Cross multiply
    18,182x = 38,011 × 38,011
  4. Step 4: Simplify right side
    18,182x = 1,444,836,121
  5. Step 5: Solve for x
    x = 1,444,836,121/18,182
  6. Step 6: Final answer
    x = 79,465.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.