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Finding the Third Proportional to 24,314 and 36,645

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Solution

The third proportional to 24,314 and 36,645 is: 55,229.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314 : 36,645 = 36,645 : x
  2. Step 2: Convert to fraction form
    24,314/36,645 = 36,645/x
  3. Step 3: Cross multiply
    24,314x = 36,645 × 36,645
  4. Step 4: Simplify right side
    24,314x = 1,342,856,025
  5. Step 5: Solve for x
    x = 1,342,856,025/24,314
  6. Step 6: Final answer
    x = 55,229.75

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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.