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Finding the Third Proportional to 10,536 and 23,193

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Solution

The third proportional to 10,536 and 23,193 is: 51,054.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536 : 23,193 = 23,193 : x
  2. Step 2: Convert to fraction form
    10,536/23,193 = 23,193/x
  3. Step 3: Cross multiply
    10,536x = 23,193 × 23,193
  4. Step 4: Simplify right side
    10,536x = 537,915,249
  5. Step 5: Solve for x
    x = 537,915,249/10,536
  6. Step 6: Final answer
    x = 51,054.98

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.