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Finding the Third Proportional to 6,284 and 14,866

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Solution

The third proportional to 6,284 and 14,866 is: 35,168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284 : 14,866 = 14,866 : x
  2. Step 2: Convert to fraction form
    6,284/14,866 = 14,866/x
  3. Step 3: Cross multiply
    6,284x = 14,866 × 14,866
  4. Step 4: Simplify right side
    6,284x = 220,997,956
  5. Step 5: Solve for x
    x = 220,997,956/6,284
  6. Step 6: Final answer
    x = 35,168.36

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.