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Finding the Third Proportional to 23,517 and 36,024.75

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Solution

The third proportional to 23,517 and 36,024.75 is: 55,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,517 : 36,024.75 = 36,024.75 : x
  2. Step 2: Convert to fraction form
    23,517/36,024.75 = 36,024.75/x
  3. Step 3: Cross multiply
    23,517x = 36,024.75 × 36,024.75
  4. Step 4: Simplify right side
    23,517x = 1,297,782,612.56
  5. Step 5: Solve for x
    x = 1,297,782,612.56/23,517
  6. Step 6: Final answer
    x = 55,184.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.