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Finding the Third Proportional to 6,923 and 9,903

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Solution

The third proportional to 6,923 and 9,903 is: 14,165.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,923 : 9,903 = 9,903 : x
  2. Step 2: Convert to fraction form
    6,923/9,903 = 9,903/x
  3. Step 3: Cross multiply
    6,923x = 9,903 × 9,903
  4. Step 4: Simplify right side
    6,923x = 98,069,409
  5. Step 5: Solve for x
    x = 98,069,409/6,923
  6. Step 6: Final answer
    x = 14,165.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.