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Finding the Third Proportional to 22,039 and 48,453

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Solution

The third proportional to 22,039 and 48,453 is: 106,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,039 : 48,453 = 48,453 : x
  2. Step 2: Convert to fraction form
    22,039/48,453 = 48,453/x
  3. Step 3: Cross multiply
    22,039x = 48,453 × 48,453
  4. Step 4: Simplify right side
    22,039x = 2,347,693,209
  5. Step 5: Solve for x
    x = 2,347,693,209/22,039
  6. Step 6: Final answer
    x = 106,524.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.