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Finding the Third Proportional to 6,883 and 14,654

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Solution

The third proportional to 6,883 and 14,654 is: 31,198.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883 : 14,654 = 14,654 : x
  2. Step 2: Convert to fraction form
    6,883/14,654 = 14,654/x
  3. Step 3: Cross multiply
    6,883x = 14,654 × 14,654
  4. Step 4: Simplify right side
    6,883x = 214,739,716
  5. Step 5: Solve for x
    x = 214,739,716/6,883
  6. Step 6: Final answer
    x = 31,198.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.