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Finding the Third Proportional to 7,299.19 and 11,131.03

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Solution

The third proportional to 7,299.19 and 11,131.03 is: 16,974.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,299.19 : 11,131.03 = 11,131.03 : x
  2. Step 2: Convert to fraction form
    7,299.19/11,131.03 = 11,131.03/x
  3. Step 3: Cross multiply
    7,299.19x = 11,131.03 × 11,131.03
  4. Step 4: Simplify right side
    7,299.19x = 123,899,856.69
  5. Step 5: Solve for x
    x = 123,899,856.69/7,299.19
  6. Step 6: Final answer
    x = 16,974.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.