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Finding the Third Proportional to 11,529 and 19,435.50

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Solution

The third proportional to 11,529 and 19,435.50 is: 32,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,529 : 19,435.50 = 19,435.50 : x
  2. Step 2: Convert to fraction form
    11,529/19,435.50 = 19,435.50/x
  3. Step 3: Cross multiply
    11,529x = 19,435.50 × 19,435.50
  4. Step 4: Simplify right side
    11,529x = 377,738,660.25
  5. Step 5: Solve for x
    x = 377,738,660.25/11,529
  6. Step 6: Final answer
    x = 32,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.