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Finding the Third Proportional to 22,161.38 and 48,014.94

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Solution

The third proportional to 22,161.38 and 48,014.94 is: 104,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,161.38 : 48,014.94 = 48,014.94 : x
  2. Step 2: Convert to fraction form
    22,161.38/48,014.94 = 48,014.94/x
  3. Step 3: Cross multiply
    22,161.38x = 48,014.94 × 48,014.94
  4. Step 4: Simplify right side
    22,161.38x = 2,305,434,223.13
  5. Step 5: Solve for x
    x = 2,305,434,223.13/22,161.38
  6. Step 6: Final answer
    x = 104,029.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.