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Finding the Third Proportional to 20,959 and 44,338

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Solution

The third proportional to 20,959 and 44,338 is: 93,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,959 : 44,338 = 44,338 : x
  2. Step 2: Convert to fraction form
    20,959/44,338 = 44,338/x
  3. Step 3: Cross multiply
    20,959x = 44,338 × 44,338
  4. Step 4: Simplify right side
    20,959x = 1,965,858,244
  5. Step 5: Solve for x
    x = 1,965,858,244/20,959
  6. Step 6: Final answer
    x = 93,795.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.