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Finding the Third Proportional to 11,396 and 23,355

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Solution

The third proportional to 11,396 and 23,355 is: 47,863.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396 : 23,355 = 23,355 : x
  2. Step 2: Convert to fraction form
    11,396/23,355 = 23,355/x
  3. Step 3: Cross multiply
    11,396x = 23,355 × 23,355
  4. Step 4: Simplify right side
    11,396x = 545,456,025
  5. Step 5: Solve for x
    x = 545,456,025/11,396
  6. Step 6: Final answer
    x = 47,863.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.