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Finding the Third Proportional to 6,194 and 9,269

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Solution

The third proportional to 6,194 and 9,269 is: 13,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194 : 9,269 = 9,269 : x
  2. Step 2: Convert to fraction form
    6,194/9,269 = 9,269/x
  3. Step 3: Cross multiply
    6,194x = 9,269 × 9,269
  4. Step 4: Simplify right side
    6,194x = 85,914,361
  5. Step 5: Solve for x
    x = 85,914,361/6,194
  6. Step 6: Final answer
    x = 13,870.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.