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Finding the Third Proportional to 37,677 and 81,912

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Solution

The third proportional to 37,677 and 81,912 is: 178,081.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,677 : 81,912 = 81,912 : x
  2. Step 2: Convert to fraction form
    37,677/81,912 = 81,912/x
  3. Step 3: Cross multiply
    37,677x = 81,912 × 81,912
  4. Step 4: Simplify right side
    37,677x = 6,709,575,744
  5. Step 5: Solve for x
    x = 6,709,575,744/37,677
  6. Step 6: Final answer
    x = 178,081.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.