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Finding the Third Proportional to 18,642 and 37,266

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Solution

The third proportional to 18,642 and 37,266 is: 74,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 37,266 = 37,266 : x
  2. Step 2: Convert to fraction form
    18,642/37,266 = 37,266/x
  3. Step 3: Cross multiply
    18,642x = 37,266 × 37,266
  4. Step 4: Simplify right side
    18,642x = 1,388,754,756
  5. Step 5: Solve for x
    x = 1,388,754,756/18,642
  6. Step 6: Final answer
    x = 74,496.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.