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Finding the Third Proportional to 18,198 and 37,557

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Solution

The third proportional to 18,198 and 37,557 is: 77,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,198 : 37,557 = 37,557 : x
  2. Step 2: Convert to fraction form
    18,198/37,557 = 37,557/x
  3. Step 3: Cross multiply
    18,198x = 37,557 × 37,557
  4. Step 4: Simplify right side
    18,198x = 1,410,528,249
  5. Step 5: Solve for x
    x = 1,410,528,249/18,198
  6. Step 6: Final answer
    x = 77,510.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.