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Finding the Third Proportional to 22,168 and 32,425

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Solution

The third proportional to 22,168 and 32,425 is: 47,427.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,168 : 32,425 = 32,425 : x
  2. Step 2: Convert to fraction form
    22,168/32,425 = 32,425/x
  3. Step 3: Cross multiply
    22,168x = 32,425 × 32,425
  4. Step 4: Simplify right side
    22,168x = 1,051,380,625
  5. Step 5: Solve for x
    x = 1,051,380,625/22,168
  6. Step 6: Final answer
    x = 47,427.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.