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Finding the Third Proportional to 19,861 and 41,355

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Solution

The third proportional to 19,861 and 41,355 is: 86,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,861 : 41,355 = 41,355 : x
  2. Step 2: Convert to fraction form
    19,861/41,355 = 41,355/x
  3. Step 3: Cross multiply
    19,861x = 41,355 × 41,355
  4. Step 4: Simplify right side
    19,861x = 1,710,236,025
  5. Step 5: Solve for x
    x = 1,710,236,025/19,861
  6. Step 6: Final answer
    x = 86,110.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.