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Finding the Third Proportional to 22,235.50 and 48,161

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Solution

The third proportional to 22,235.50 and 48,161 is: 104,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,235.50 : 48,161 = 48,161 : x
  2. Step 2: Convert to fraction form
    22,235.50/48,161 = 48,161/x
  3. Step 3: Cross multiply
    22,235.50x = 48,161 × 48,161
  4. Step 4: Simplify right side
    22,235.50x = 2,319,481,921
  5. Step 5: Solve for x
    x = 2,319,481,921/22,235.50
  6. Step 6: Final answer
    x = 104,314.36

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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.