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Finding the Third Proportional to 34,769 and 52,131

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Solution

The third proportional to 34,769 and 52,131 is: 78,162.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,769 : 52,131 = 52,131 : x
  2. Step 2: Convert to fraction form
    34,769/52,131 = 52,131/x
  3. Step 3: Cross multiply
    34,769x = 52,131 × 52,131
  4. Step 4: Simplify right side
    34,769x = 2,717,641,161
  5. Step 5: Solve for x
    x = 2,717,641,161/34,769
  6. Step 6: Final answer
    x = 78,162.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.