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Finding the Third Proportional to 20,533 and 44,271

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Solution

The third proportional to 20,533 and 44,271 is: 95,452.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,533 : 44,271 = 44,271 : x
  2. Step 2: Convert to fraction form
    20,533/44,271 = 44,271/x
  3. Step 3: Cross multiply
    20,533x = 44,271 × 44,271
  4. Step 4: Simplify right side
    20,533x = 1,959,921,441
  5. Step 5: Solve for x
    x = 1,959,921,441/20,533
  6. Step 6: Final answer
    x = 95,452.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.