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Finding the Third Proportional to 11,395 and 23,357

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Solution

The third proportional to 11,395 and 23,357 is: 47,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,395 : 23,357 = 23,357 : x
  2. Step 2: Convert to fraction form
    11,395/23,357 = 23,357/x
  3. Step 3: Cross multiply
    11,395x = 23,357 × 23,357
  4. Step 4: Simplify right side
    11,395x = 545,549,449
  5. Step 5: Solve for x
    x = 545,549,449/11,395
  6. Step 6: Final answer
    x = 47,876.21

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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.