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Finding the Third Proportional to 5,114 and 6,939

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Solution

The third proportional to 5,114 and 6,939 is: 9,415.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 6,939 = 6,939 : x
  2. Step 2: Convert to fraction form
    5,114/6,939 = 6,939/x
  3. Step 3: Cross multiply
    5,114x = 6,939 × 6,939
  4. Step 4: Simplify right side
    5,114x = 48,149,721
  5. Step 5: Solve for x
    x = 48,149,721/5,114
  6. Step 6: Final answer
    x = 9,415.28

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.