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Finding the Third Proportional to 19,899 and 41,841

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Solution

The third proportional to 19,899 and 41,841 is: 87,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,899 : 41,841 = 41,841 : x
  2. Step 2: Convert to fraction form
    19,899/41,841 = 41,841/x
  3. Step 3: Cross multiply
    19,899x = 41,841 × 41,841
  4. Step 4: Simplify right side
    19,899x = 1,750,669,281
  5. Step 5: Solve for x
    x = 1,750,669,281/19,899
  6. Step 6: Final answer
    x = 87,977.75

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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.