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Finding the Third Proportional to 22,256 and 51,752

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Solution

The third proportional to 22,256 and 51,752 is: 120,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,256 : 51,752 = 51,752 : x
  2. Step 2: Convert to fraction form
    22,256/51,752 = 51,752/x
  3. Step 3: Cross multiply
    22,256x = 51,752 × 51,752
  4. Step 4: Simplify right side
    22,256x = 2,678,269,504
  5. Step 5: Solve for x
    x = 2,678,269,504/22,256
  6. Step 6: Final answer
    x = 120,339.21

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.