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Finding the Third Proportional to 22,024 and 47,635

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Solution

The third proportional to 22,024 and 47,635 is: 103,028.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,024 : 47,635 = 47,635 : x
  2. Step 2: Convert to fraction form
    22,024/47,635 = 47,635/x
  3. Step 3: Cross multiply
    22,024x = 47,635 × 47,635
  4. Step 4: Simplify right side
    22,024x = 2,269,093,225
  5. Step 5: Solve for x
    x = 2,269,093,225/22,024
  6. Step 6: Final answer
    x = 103,028.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.