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Finding the Third Proportional to 18,496 and 27,728

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Solution

The third proportional to 18,496 and 27,728 is: 41,568.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,496 : 27,728 = 27,728 : x
  2. Step 2: Convert to fraction form
    18,496/27,728 = 27,728/x
  3. Step 3: Cross multiply
    18,496x = 27,728 × 27,728
  4. Step 4: Simplify right side
    18,496x = 768,841,984
  5. Step 5: Solve for x
    x = 768,841,984/18,496
  6. Step 6: Final answer
    x = 41,568.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.