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Finding the Third Proportional to 40,604 and 82,324

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Solution

The third proportional to 40,604 and 82,324 is: 166,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,604 : 82,324 = 82,324 : x
  2. Step 2: Convert to fraction form
    40,604/82,324 = 82,324/x
  3. Step 3: Cross multiply
    40,604x = 82,324 × 82,324
  4. Step 4: Simplify right side
    40,604x = 6,777,240,976
  5. Step 5: Solve for x
    x = 6,777,240,976/40,604
  6. Step 6: Final answer
    x = 166,910.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.