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Finding the Third Proportional to 3,486 and 8,280

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Solution

The third proportional to 3,486 and 8,280 is: 19,666.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486 : 8,280 = 8,280 : x
  2. Step 2: Convert to fraction form
    3,486/8,280 = 8,280/x
  3. Step 3: Cross multiply
    3,486x = 8,280 × 8,280
  4. Step 4: Simplify right side
    3,486x = 68,558,400
  5. Step 5: Solve for x
    x = 68,558,400/3,486
  6. Step 6: Final answer
    x = 19,666.78

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.