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Finding the Third Proportional to 7,227.35 and 10,811.13

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Solution

The third proportional to 7,227.35 and 10,811.13 is: 16,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,227.35 : 10,811.13 = 10,811.13 : x
  2. Step 2: Convert to fraction form
    7,227.35/10,811.13 = 10,811.13/x
  3. Step 3: Cross multiply
    7,227.35x = 10,811.13 × 10,811.13
  4. Step 4: Simplify right side
    7,227.35x = 116,880,466.00
  5. Step 5: Solve for x
    x = 116,880,466.00/7,227.35
  6. Step 6: Final answer
    x = 16,171.96

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Why These Related Problems?

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