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Finding the Third Proportional to 23,609 and 50,377

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Solution

The third proportional to 23,609 and 50,377 is: 107,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,609 : 50,377 = 50,377 : x
  2. Step 2: Convert to fraction form
    23,609/50,377 = 50,377/x
  3. Step 3: Cross multiply
    23,609x = 50,377 × 50,377
  4. Step 4: Simplify right side
    23,609x = 2,537,842,129
  5. Step 5: Solve for x
    x = 2,537,842,129/23,609
  6. Step 6: Final answer
    x = 107,494.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.