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Finding the Third Proportional to 19,733 and 43,286

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Solution

The third proportional to 19,733 and 43,286 is: 94,951.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,733 : 43,286 = 43,286 : x
  2. Step 2: Convert to fraction form
    19,733/43,286 = 43,286/x
  3. Step 3: Cross multiply
    19,733x = 43,286 × 43,286
  4. Step 4: Simplify right side
    19,733x = 1,873,677,796
  5. Step 5: Solve for x
    x = 1,873,677,796/19,733
  6. Step 6: Final answer
    x = 94,951.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.