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Finding the Third Proportional to 51,846 and 76,675

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Solution

The third proportional to 51,846 and 76,675 is: 113,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,846 : 76,675 = 76,675 : x
  2. Step 2: Convert to fraction form
    51,846/76,675 = 76,675/x
  3. Step 3: Cross multiply
    51,846x = 76,675 × 76,675
  4. Step 4: Simplify right side
    51,846x = 5,879,055,625
  5. Step 5: Solve for x
    x = 5,879,055,625/51,846
  6. Step 6: Final answer
    x = 113,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.