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Finding the Third Proportional to 9,094 and 13,606

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Solution

The third proportional to 9,094 and 13,606 is: 20,356.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094 : 13,606 = 13,606 : x
  2. Step 2: Convert to fraction form
    9,094/13,606 = 13,606/x
  3. Step 3: Cross multiply
    9,094x = 13,606 × 13,606
  4. Step 4: Simplify right side
    9,094x = 185,123,236
  5. Step 5: Solve for x
    x = 185,123,236/9,094
  6. Step 6: Final answer
    x = 20,356.63

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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.