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Finding the Third Proportional to 11,079 and 16,580.81

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Solution

The third proportional to 11,079 and 16,580.81 is: 24,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,079 : 16,580.81 = 16,580.81 : x
  2. Step 2: Convert to fraction form
    11,079/16,580.81 = 16,580.81/x
  3. Step 3: Cross multiply
    11,079x = 16,580.81 × 16,580.81
  4. Step 4: Simplify right side
    11,079x = 274,923,343.16
  5. Step 5: Solve for x
    x = 274,923,343.16/11,079
  6. Step 6: Final answer
    x = 24,814.82

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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.