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Finding the Third Proportional to 32,777 and 71,115

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Solution

The third proportional to 32,777 and 71,115 is: 154,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,777 : 71,115 = 71,115 : x
  2. Step 2: Convert to fraction form
    32,777/71,115 = 71,115/x
  3. Step 3: Cross multiply
    32,777x = 71,115 × 71,115
  4. Step 4: Simplify right side
    32,777x = 5,057,343,225
  5. Step 5: Solve for x
    x = 5,057,343,225/32,777
  6. Step 6: Final answer
    x = 154,295.49

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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.