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Finding the Third Proportional to 6,446 and 14,086

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Solution

The third proportional to 6,446 and 14,086 is: 30,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446 : 14,086 = 14,086 : x
  2. Step 2: Convert to fraction form
    6,446/14,086 = 14,086/x
  3. Step 3: Cross multiply
    6,446x = 14,086 × 14,086
  4. Step 4: Simplify right side
    6,446x = 198,415,396
  5. Step 5: Solve for x
    x = 198,415,396/6,446
  6. Step 6: Final answer
    x = 30,781.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.