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Finding the Third Proportional to 5,134 and 6,857

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Solution

The third proportional to 5,134 and 6,857 is: 9,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134 : 6,857 = 6,857 : x
  2. Step 2: Convert to fraction form
    5,134/6,857 = 6,857/x
  3. Step 3: Cross multiply
    5,134x = 6,857 × 6,857
  4. Step 4: Simplify right side
    5,134x = 47,018,449
  5. Step 5: Solve for x
    x = 47,018,449/5,134
  6. Step 6: Final answer
    x = 9,158.25

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.