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Finding the Third Proportional to 18,786 and 27,453

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Solution

The third proportional to 18,786 and 27,453 is: 40,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786 : 27,453 = 27,453 : x
  2. Step 2: Convert to fraction form
    18,786/27,453 = 27,453/x
  3. Step 3: Cross multiply
    18,786x = 27,453 × 27,453
  4. Step 4: Simplify right side
    18,786x = 753,667,209
  5. Step 5: Solve for x
    x = 753,667,209/18,786
  6. Step 6: Final answer
    x = 40,118.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.