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Finding the Third Proportional to 18,482 and 39,728

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Solution

The third proportional to 18,482 and 39,728 is: 85,397.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,482 : 39,728 = 39,728 : x
  2. Step 2: Convert to fraction form
    18,482/39,728 = 39,728/x
  3. Step 3: Cross multiply
    18,482x = 39,728 × 39,728
  4. Step 4: Simplify right side
    18,482x = 1,578,313,984
  5. Step 5: Solve for x
    x = 1,578,313,984/18,482
  6. Step 6: Final answer
    x = 85,397.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.