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Finding the Third Proportional to 38,296 and 56,109

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Solution

The third proportional to 38,296 and 56,109 is: 82,207.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,296 : 56,109 = 56,109 : x
  2. Step 2: Convert to fraction form
    38,296/56,109 = 56,109/x
  3. Step 3: Cross multiply
    38,296x = 56,109 × 56,109
  4. Step 4: Simplify right side
    38,296x = 3,148,219,881
  5. Step 5: Solve for x
    x = 3,148,219,881/38,296
  6. Step 6: Final answer
    x = 82,207.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.