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Finding the Third Proportional to 18,264 and 37,392

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Solution

The third proportional to 18,264 and 37,392 is: 76,552.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,264 : 37,392 = 37,392 : x
  2. Step 2: Convert to fraction form
    18,264/37,392 = 37,392/x
  3. Step 3: Cross multiply
    18,264x = 37,392 × 37,392
  4. Step 4: Simplify right side
    18,264x = 1,398,161,664
  5. Step 5: Solve for x
    x = 1,398,161,664/18,264
  6. Step 6: Final answer
    x = 76,552.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.