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Finding the Third Proportional to 37,712 and 79,096

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Solution

The third proportional to 37,712 and 79,096 is: 165,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,712 : 79,096 = 79,096 : x
  2. Step 2: Convert to fraction form
    37,712/79,096 = 79,096/x
  3. Step 3: Cross multiply
    37,712x = 79,096 × 79,096
  4. Step 4: Simplify right side
    37,712x = 6,256,177,216
  5. Step 5: Solve for x
    x = 6,256,177,216/37,712
  6. Step 6: Final answer
    x = 165,893.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.