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Finding the Third Proportional to 18,982 and 41,540

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Solution

The third proportional to 18,982 and 41,540 is: 90,905.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,982 : 41,540 = 41,540 : x
  2. Step 2: Convert to fraction form
    18,982/41,540 = 41,540/x
  3. Step 3: Cross multiply
    18,982x = 41,540 × 41,540
  4. Step 4: Simplify right side
    18,982x = 1,725,571,600
  5. Step 5: Solve for x
    x = 1,725,571,600/18,982
  6. Step 6: Final answer
    x = 90,905.68

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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.