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Finding the Third Proportional to 7,349.95 and 16,163.06

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Solution

The third proportional to 7,349.95 and 16,163.06 is: 35,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,349.95 : 16,163.06 = 16,163.06 : x
  2. Step 2: Convert to fraction form
    7,349.95/16,163.06 = 16,163.06/x
  3. Step 3: Cross multiply
    7,349.95x = 16,163.06 × 16,163.06
  4. Step 4: Simplify right side
    7,349.95x = 261,244,589.38
  5. Step 5: Solve for x
    x = 261,244,589.38/7,349.95
  6. Step 6: Final answer
    x = 35,543.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.