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Finding the Third Proportional to 22,424 and 52,859.25

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Solution

The third proportional to 22,424 and 52,859.25 is: 124,603.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424 : 52,859.25 = 52,859.25 : x
  2. Step 2: Convert to fraction form
    22,424/52,859.25 = 52,859.25/x
  3. Step 3: Cross multiply
    22,424x = 52,859.25 × 52,859.25
  4. Step 4: Simplify right side
    22,424x = 2,794,100,310.56
  5. Step 5: Solve for x
    x = 2,794,100,310.56/22,424
  6. Step 6: Final answer
    x = 124,603.12

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.