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Finding the Third Proportional to 41,234 and 62,233

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Solution

The third proportional to 41,234 and 62,233 is: 93,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,234 : 62,233 = 62,233 : x
  2. Step 2: Convert to fraction form
    41,234/62,233 = 62,233/x
  3. Step 3: Cross multiply
    41,234x = 62,233 × 62,233
  4. Step 4: Simplify right side
    41,234x = 3,872,946,289
  5. Step 5: Solve for x
    x = 3,872,946,289/41,234
  6. Step 6: Final answer
    x = 93,926.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.