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Finding the Third Proportional to 34,181 and 53,512

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Solution

The third proportional to 34,181 and 53,512 is: 83,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,181 : 53,512 = 53,512 : x
  2. Step 2: Convert to fraction form
    34,181/53,512 = 53,512/x
  3. Step 3: Cross multiply
    34,181x = 53,512 × 53,512
  4. Step 4: Simplify right side
    34,181x = 2,863,534,144
  5. Step 5: Solve for x
    x = 2,863,534,144/34,181
  6. Step 6: Final answer
    x = 83,775.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.