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Finding the Third Proportional to 22,508.25 and 48,431.81

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Solution

The third proportional to 22,508.25 and 48,431.81 is: 104,212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,508.25 : 48,431.81 = 48,431.81 : x
  2. Step 2: Convert to fraction form
    22,508.25/48,431.81 = 48,431.81/x
  3. Step 3: Cross multiply
    22,508.25x = 48,431.81 × 48,431.81
  4. Step 4: Simplify right side
    22,508.25x = 2,345,640,462.04
  5. Step 5: Solve for x
    x = 2,345,640,462.04/22,508.25
  6. Step 6: Final answer
    x = 104,212.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.