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Finding the Third Proportional to 41,224 and 62,032

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Solution

The third proportional to 41,224 and 62,032 is: 93,342.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,224 : 62,032 = 62,032 : x
  2. Step 2: Convert to fraction form
    41,224/62,032 = 62,032/x
  3. Step 3: Cross multiply
    41,224x = 62,032 × 62,032
  4. Step 4: Simplify right side
    41,224x = 3,847,969,024
  5. Step 5: Solve for x
    x = 3,847,969,024/41,224
  6. Step 6: Final answer
    x = 93,342.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.