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Finding the Third Proportional to 20,196 and 47,894

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Solution

The third proportional to 20,196 and 47,894 is: 113,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,196 : 47,894 = 47,894 : x
  2. Step 2: Convert to fraction form
    20,196/47,894 = 47,894/x
  3. Step 3: Cross multiply
    20,196x = 47,894 × 47,894
  4. Step 4: Simplify right side
    20,196x = 2,293,835,236
  5. Step 5: Solve for x
    x = 2,293,835,236/20,196
  6. Step 6: Final answer
    x = 113,578.69

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.