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Finding the Third Proportional to 6,914 and 9,891

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Solution

The third proportional to 6,914 and 9,891 is: 14,149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914 : 9,891 = 9,891 : x
  2. Step 2: Convert to fraction form
    6,914/9,891 = 9,891/x
  3. Step 3: Cross multiply
    6,914x = 9,891 × 9,891
  4. Step 4: Simplify right side
    6,914x = 97,831,881
  5. Step 5: Solve for x
    x = 97,831,881/6,914
  6. Step 6: Final answer
    x = 14,149.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.