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Finding the Third Proportional to 24,696 and 40,122

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Solution

The third proportional to 24,696 and 40,122 is: 65,183.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,696 : 40,122 = 40,122 : x
  2. Step 2: Convert to fraction form
    24,696/40,122 = 40,122/x
  3. Step 3: Cross multiply
    24,696x = 40,122 × 40,122
  4. Step 4: Simplify right side
    24,696x = 1,609,774,884
  5. Step 5: Solve for x
    x = 1,609,774,884/24,696
  6. Step 6: Final answer
    x = 65,183.63

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.