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Finding the Third Proportional to 21,478 and 33,244

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Solution

The third proportional to 21,478 and 33,244 is: 51,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478 : 33,244 = 33,244 : x
  2. Step 2: Convert to fraction form
    21,478/33,244 = 33,244/x
  3. Step 3: Cross multiply
    21,478x = 33,244 × 33,244
  4. Step 4: Simplify right side
    21,478x = 1,105,163,536
  5. Step 5: Solve for x
    x = 1,105,163,536/21,478
  6. Step 6: Final answer
    x = 51,455.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.