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Finding the Third Proportional to 6,667 and 10,369

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Solution

The third proportional to 6,667 and 10,369 is: 16,126.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667 : 10,369 = 10,369 : x
  2. Step 2: Convert to fraction form
    6,667/10,369 = 10,369/x
  3. Step 3: Cross multiply
    6,667x = 10,369 × 10,369
  4. Step 4: Simplify right side
    6,667x = 107,516,161
  5. Step 5: Solve for x
    x = 107,516,161/6,667
  6. Step 6: Final answer
    x = 16,126.62

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.