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Finding the Third Proportional to 37,682 and 79,564

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Solution

The third proportional to 37,682 and 79,564 is: 167,996.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,682 : 79,564 = 79,564 : x
  2. Step 2: Convert to fraction form
    37,682/79,564 = 79,564/x
  3. Step 3: Cross multiply
    37,682x = 79,564 × 79,564
  4. Step 4: Simplify right side
    37,682x = 6,330,430,096
  5. Step 5: Solve for x
    x = 6,330,430,096/37,682
  6. Step 6: Final answer
    x = 167,996.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.