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Finding the Third Proportional to 22,463.25 and 48,911.25

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Solution

The third proportional to 22,463.25 and 48,911.25 is: 106,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,463.25 : 48,911.25 = 48,911.25 : x
  2. Step 2: Convert to fraction form
    22,463.25/48,911.25 = 48,911.25/x
  3. Step 3: Cross multiply
    22,463.25x = 48,911.25 × 48,911.25
  4. Step 4: Simplify right side
    22,463.25x = 2,392,310,376.56
  5. Step 5: Solve for x
    x = 2,392,310,376.56/22,463.25
  6. Step 6: Final answer
    x = 106,498.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.