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Finding the Third Proportional to 16,169.50 and 22,823

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Solution

The third proportional to 16,169.50 and 22,823 is: 32,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169.50 : 22,823 = 22,823 : x
  2. Step 2: Convert to fraction form
    16,169.50/22,823 = 22,823/x
  3. Step 3: Cross multiply
    16,169.50x = 22,823 × 22,823
  4. Step 4: Simplify right side
    16,169.50x = 520,889,329
  5. Step 5: Solve for x
    x = 520,889,329/16,169.50
  6. Step 6: Final answer
    x = 32,214.31

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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.