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Finding the Third Proportional to 19,660 and 41,536

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Solution

The third proportional to 19,660 and 41,536 is: 87,753.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,660 : 41,536 = 41,536 : x
  2. Step 2: Convert to fraction form
    19,660/41,536 = 41,536/x
  3. Step 3: Cross multiply
    19,660x = 41,536 × 41,536
  4. Step 4: Simplify right side
    19,660x = 1,725,239,296
  5. Step 5: Solve for x
    x = 1,725,239,296/19,660
  6. Step 6: Final answer
    x = 87,753.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.