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Finding the Third Proportional to 34,116 and 52,631

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Solution

The third proportional to 34,116 and 52,631 is: 81,194.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,116 : 52,631 = 52,631 : x
  2. Step 2: Convert to fraction form
    34,116/52,631 = 52,631/x
  3. Step 3: Cross multiply
    34,116x = 52,631 × 52,631
  4. Step 4: Simplify right side
    34,116x = 2,770,022,161
  5. Step 5: Solve for x
    x = 2,770,022,161/34,116
  6. Step 6: Final answer
    x = 81,194.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.