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Finding the Third Proportional to 6,853 and 10,463

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Solution

The third proportional to 6,853 and 10,463 is: 15,974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 10,463 = 10,463 : x
  2. Step 2: Convert to fraction form
    6,853/10,463 = 10,463/x
  3. Step 3: Cross multiply
    6,853x = 10,463 × 10,463
  4. Step 4: Simplify right side
    6,853x = 109,474,369
  5. Step 5: Solve for x
    x = 109,474,369/6,853
  6. Step 6: Final answer
    x = 15,974.66

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.