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Finding the Third Proportional to 39,530 and 93,311

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Solution

The third proportional to 39,530 and 93,311 is: 220,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,530 : 93,311 = 93,311 : x
  2. Step 2: Convert to fraction form
    39,530/93,311 = 93,311/x
  3. Step 3: Cross multiply
    39,530x = 93,311 × 93,311
  4. Step 4: Simplify right side
    39,530x = 8,706,942,721
  5. Step 5: Solve for x
    x = 8,706,942,721/39,530
  6. Step 6: Final answer
    x = 220,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.