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Finding the Third Proportional to 23,296 and 48,752

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Solution

The third proportional to 23,296 and 48,752 is: 102,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,296 : 48,752 = 48,752 : x
  2. Step 2: Convert to fraction form
    23,296/48,752 = 48,752/x
  3. Step 3: Cross multiply
    23,296x = 48,752 × 48,752
  4. Step 4: Simplify right side
    23,296x = 2,376,757,504
  5. Step 5: Solve for x
    x = 2,376,757,504/23,296
  6. Step 6: Final answer
    x = 102,024.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.