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Finding the Third Proportional to 18,280 and 38,456

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Solution

The third proportional to 18,280 and 38,456 is: 80,900.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,280 : 38,456 = 38,456 : x
  2. Step 2: Convert to fraction form
    18,280/38,456 = 38,456/x
  3. Step 3: Cross multiply
    18,280x = 38,456 × 38,456
  4. Step 4: Simplify right side
    18,280x = 1,478,863,936
  5. Step 5: Solve for x
    x = 1,478,863,936/18,280
  6. Step 6: Final answer
    x = 80,900.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.