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Finding the Third Proportional to 11,305 and 23,642

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Solution

The third proportional to 11,305 and 23,642 is: 49,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305 : 23,642 = 23,642 : x
  2. Step 2: Convert to fraction form
    11,305/23,642 = 23,642/x
  3. Step 3: Cross multiply
    11,305x = 23,642 × 23,642
  4. Step 4: Simplify right side
    11,305x = 558,944,164
  5. Step 5: Solve for x
    x = 558,944,164/11,305
  6. Step 6: Final answer
    x = 49,442.21

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.