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Finding the Third Proportional to 9,436.50 and 13,191

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Solution

The third proportional to 9,436.50 and 13,191 is: 18,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.50 : 13,191 = 13,191 : x
  2. Step 2: Convert to fraction form
    9,436.50/13,191 = 13,191/x
  3. Step 3: Cross multiply
    9,436.50x = 13,191 × 13,191
  4. Step 4: Simplify right side
    9,436.50x = 174,002,481
  5. Step 5: Solve for x
    x = 174,002,481/9,436.50
  6. Step 6: Final answer
    x = 18,439.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.