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Finding the Third Proportional to 22,037 and 48,448

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Solution

The third proportional to 22,037 and 48,448 is: 106,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,037 : 48,448 = 48,448 : x
  2. Step 2: Convert to fraction form
    22,037/48,448 = 48,448/x
  3. Step 3: Cross multiply
    22,037x = 48,448 × 48,448
  4. Step 4: Simplify right side
    22,037x = 2,347,208,704
  5. Step 5: Solve for x
    x = 2,347,208,704/22,037
  6. Step 6: Final answer
    x = 106,512.17

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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.