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Finding the Third Proportional to 16,941 and 23,833.50

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Solution

The third proportional to 16,941 and 23,833.50 is: 33,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,941 : 23,833.50 = 23,833.50 : x
  2. Step 2: Convert to fraction form
    16,941/23,833.50 = 23,833.50/x
  3. Step 3: Cross multiply
    16,941x = 23,833.50 × 23,833.50
  4. Step 4: Simplify right side
    16,941x = 568,035,722.25
  5. Step 5: Solve for x
    x = 568,035,722.25/16,941
  6. Step 6: Final answer
    x = 33,530.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.