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Finding the Third Proportional to 23,678 and 33,657

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Solution

The third proportional to 23,678 and 33,657 is: 47,841.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678 : 33,657 = 33,657 : x
  2. Step 2: Convert to fraction form
    23,678/33,657 = 33,657/x
  3. Step 3: Cross multiply
    23,678x = 33,657 × 33,657
  4. Step 4: Simplify right side
    23,678x = 1,132,793,649
  5. Step 5: Solve for x
    x = 1,132,793,649/23,678
  6. Step 6: Final answer
    x = 47,841.61

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.