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Finding the Third Proportional to 20,293 and 44,278

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Solution

The third proportional to 20,293 and 44,278 is: 96,611.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,293 : 44,278 = 44,278 : x
  2. Step 2: Convert to fraction form
    20,293/44,278 = 44,278/x
  3. Step 3: Cross multiply
    20,293x = 44,278 × 44,278
  4. Step 4: Simplify right side
    20,293x = 1,960,541,284
  5. Step 5: Solve for x
    x = 1,960,541,284/20,293
  6. Step 6: Final answer
    x = 96,611.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.