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Finding the Third Proportional to 20,532 and 44,206

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Solution

The third proportional to 20,532 and 44,206 is: 95,176.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532 : 44,206 = 44,206 : x
  2. Step 2: Convert to fraction form
    20,532/44,206 = 44,206/x
  3. Step 3: Cross multiply
    20,532x = 44,206 × 44,206
  4. Step 4: Simplify right side
    20,532x = 1,954,170,436
  5. Step 5: Solve for x
    x = 1,954,170,436/20,532
  6. Step 6: Final answer
    x = 95,176.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.