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Finding the Third Proportional to 23,678 and 52,611

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Solution

The third proportional to 23,678 and 52,611 is: 116,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,678 : 52,611 = 52,611 : x
  2. Step 2: Convert to fraction form
    23,678/52,611 = 52,611/x
  3. Step 3: Cross multiply
    23,678x = 52,611 × 52,611
  4. Step 4: Simplify right side
    23,678x = 2,767,917,321
  5. Step 5: Solve for x
    x = 2,767,917,321/23,678
  6. Step 6: Final answer
    x = 116,898.27

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.