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Finding the Third Proportional to 41,424 and 62,040

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Solution

The third proportional to 41,424 and 62,040 is: 92,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,424 : 62,040 = 62,040 : x
  2. Step 2: Convert to fraction form
    41,424/62,040 = 62,040/x
  3. Step 3: Cross multiply
    41,424x = 62,040 × 62,040
  4. Step 4: Simplify right side
    41,424x = 3,848,961,600
  5. Step 5: Solve for x
    x = 3,848,961,600/41,424
  6. Step 6: Final answer
    x = 92,916.22

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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.