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Finding the Third Proportional to 6,938 and 9,002

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Solution

The third proportional to 6,938 and 9,002 is: 11,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938 : 9,002 = 9,002 : x
  2. Step 2: Convert to fraction form
    6,938/9,002 = 9,002/x
  3. Step 3: Cross multiply
    6,938x = 9,002 × 9,002
  4. Step 4: Simplify right side
    6,938x = 81,036,004
  5. Step 5: Solve for x
    x = 81,036,004/6,938
  6. Step 6: Final answer
    x = 11,680.02

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.