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Finding the Third Proportional to 6,686 and 9,841

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Solution

The third proportional to 6,686 and 9,841 is: 14,484.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686 : 9,841 = 9,841 : x
  2. Step 2: Convert to fraction form
    6,686/9,841 = 9,841/x
  3. Step 3: Cross multiply
    6,686x = 9,841 × 9,841
  4. Step 4: Simplify right side
    6,686x = 96,845,281
  5. Step 5: Solve for x
    x = 96,845,281/6,686
  6. Step 6: Final answer
    x = 14,484.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.