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Finding the Third Proportional to 11,697.75 and 16,223.63

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Solution

The third proportional to 11,697.75 and 16,223.63 is: 22,500.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,697.75 : 16,223.63 = 16,223.63 : x
  2. Step 2: Convert to fraction form
    11,697.75/16,223.63 = 16,223.63/x
  3. Step 3: Cross multiply
    11,697.75x = 16,223.63 × 16,223.63
  4. Step 4: Simplify right side
    11,697.75x = 263,206,008.14
  5. Step 5: Solve for x
    x = 263,206,008.14/11,697.75
  6. Step 6: Final answer
    x = 22,500.57

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.