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Finding the Third Proportional to 6,686 and 14,065

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Solution

The third proportional to 6,686 and 14,065 is: 29,587.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686 : 14,065 = 14,065 : x
  2. Step 2: Convert to fraction form
    6,686/14,065 = 14,065/x
  3. Step 3: Cross multiply
    6,686x = 14,065 × 14,065
  4. Step 4: Simplify right side
    6,686x = 197,824,225
  5. Step 5: Solve for x
    x = 197,824,225/6,686
  6. Step 6: Final answer
    x = 29,587.83

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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.