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Finding the Third Proportional to 9,163.76 and 14,755.61

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Solution

The third proportional to 9,163.76 and 14,755.61 is: 23,759.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.76 : 14,755.61 = 14,755.61 : x
  2. Step 2: Convert to fraction form
    9,163.76/14,755.61 = 14,755.61/x
  3. Step 3: Cross multiply
    9,163.76x = 14,755.61 × 14,755.61
  4. Step 4: Simplify right side
    9,163.76x = 217,727,892.75
  5. Step 5: Solve for x
    x = 217,727,892.75/9,163.76
  6. Step 6: Final answer
    x = 23,759.67

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.