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Finding the Third Proportional to 19,893 and 41,727

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Solution

The third proportional to 19,893 and 41,727 is: 87,525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893 : 41,727 = 41,727 : x
  2. Step 2: Convert to fraction form
    19,893/41,727 = 41,727/x
  3. Step 3: Cross multiply
    19,893x = 41,727 × 41,727
  4. Step 4: Simplify right side
    19,893x = 1,741,142,529
  5. Step 5: Solve for x
    x = 1,741,142,529/19,893
  6. Step 6: Final answer
    x = 87,525.39

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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.