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Finding the Third Proportional to 5,114 and 8,391

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Solution

The third proportional to 5,114 and 8,391 is: 13,767.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114 : 8,391 = 8,391 : x
  2. Step 2: Convert to fraction form
    5,114/8,391 = 8,391/x
  3. Step 3: Cross multiply
    5,114x = 8,391 × 8,391
  4. Step 4: Simplify right side
    5,114x = 70,408,881
  5. Step 5: Solve for x
    x = 70,408,881/5,114
  6. Step 6: Final answer
    x = 13,767.87

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.