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Finding the Third Proportional to 19,558 and 41,060

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Solution

The third proportional to 19,558 and 41,060 is: 86,201.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,558 : 41,060 = 41,060 : x
  2. Step 2: Convert to fraction form
    19,558/41,060 = 41,060/x
  3. Step 3: Cross multiply
    19,558x = 41,060 × 41,060
  4. Step 4: Simplify right side
    19,558x = 1,685,923,600
  5. Step 5: Solve for x
    x = 1,685,923,600/19,558
  6. Step 6: Final answer
    x = 86,201.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.