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Finding the Third Proportional to 34,852 and 55,387

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Solution

The third proportional to 34,852 and 55,387 is: 88,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,852 : 55,387 = 55,387 : x
  2. Step 2: Convert to fraction form
    34,852/55,387 = 55,387/x
  3. Step 3: Cross multiply
    34,852x = 55,387 × 55,387
  4. Step 4: Simplify right side
    34,852x = 3,067,719,769
  5. Step 5: Solve for x
    x = 3,067,719,769/34,852
  6. Step 6: Final answer
    x = 88,021.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.