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Finding the Third Proportional to 16,171.50 and 22,825.50

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Solution

The third proportional to 16,171.50 and 22,825.50 is: 32,217.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.50 : 22,825.50 = 22,825.50 : x
  2. Step 2: Convert to fraction form
    16,171.50/22,825.50 = 22,825.50/x
  3. Step 3: Cross multiply
    16,171.50x = 22,825.50 × 22,825.50
  4. Step 4: Simplify right side
    16,171.50x = 521,003,450.25
  5. Step 5: Solve for x
    x = 521,003,450.25/16,171.50
  6. Step 6: Final answer
    x = 32,217.39

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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.