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Finding the Third Proportional to 24,529 and 32,622

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Solution

The third proportional to 24,529 and 32,622 is: 43,385.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,529 : 32,622 = 32,622 : x
  2. Step 2: Convert to fraction form
    24,529/32,622 = 32,622/x
  3. Step 3: Cross multiply
    24,529x = 32,622 × 32,622
  4. Step 4: Simplify right side
    24,529x = 1,064,194,884
  5. Step 5: Solve for x
    x = 1,064,194,884/24,529
  6. Step 6: Final answer
    x = 43,385.17

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.