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Finding the Third Proportional to 7,014 and 9,891

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Solution

The third proportional to 7,014 and 9,891 is: 13,948.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,014 : 9,891 = 9,891 : x
  2. Step 2: Convert to fraction form
    7,014/9,891 = 9,891/x
  3. Step 3: Cross multiply
    7,014x = 9,891 × 9,891
  4. Step 4: Simplify right side
    7,014x = 97,831,881
  5. Step 5: Solve for x
    x = 97,831,881/7,014
  6. Step 6: Final answer
    x = 13,948.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.