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Finding the Third Proportional to 15,500 and 23,189

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Solution

The third proportional to 15,500 and 23,189 is: 34,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,500 : 23,189 = 23,189 : x
  2. Step 2: Convert to fraction form
    15,500/23,189 = 23,189/x
  3. Step 3: Cross multiply
    15,500x = 23,189 × 23,189
  4. Step 4: Simplify right side
    15,500x = 537,729,721
  5. Step 5: Solve for x
    x = 537,729,721/15,500
  6. Step 6: Final answer
    x = 34,692.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.