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Finding the Third Proportional to 18,089 and 37,561

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Solution

The third proportional to 18,089 and 37,561 is: 77,993.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,089 : 37,561 = 37,561 : x
  2. Step 2: Convert to fraction form
    18,089/37,561 = 37,561/x
  3. Step 3: Cross multiply
    18,089x = 37,561 × 37,561
  4. Step 4: Simplify right side
    18,089x = 1,410,828,721
  5. Step 5: Solve for x
    x = 1,410,828,721/18,089
  6. Step 6: Final answer
    x = 77,993.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.