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Finding the Third Proportional to 20,523 and 44,251

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Solution

The third proportional to 20,523 and 44,251 is: 95,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,523 : 44,251 = 44,251 : x
  2. Step 2: Convert to fraction form
    20,523/44,251 = 44,251/x
  3. Step 3: Cross multiply
    20,523x = 44,251 × 44,251
  4. Step 4: Simplify right side
    20,523x = 1,958,151,001
  5. Step 5: Solve for x
    x = 1,958,151,001/20,523
  6. Step 6: Final answer
    x = 95,412.51

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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.