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Finding the Third Proportional to 34,702 and 51,910

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Solution

The third proportional to 34,702 and 51,910 is: 77,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702 : 51,910 = 51,910 : x
  2. Step 2: Convert to fraction form
    34,702/51,910 = 51,910/x
  3. Step 3: Cross multiply
    34,702x = 51,910 × 51,910
  4. Step 4: Simplify right side
    34,702x = 2,694,648,100
  5. Step 5: Solve for x
    x = 2,694,648,100/34,702
  6. Step 6: Final answer
    x = 77,651.09

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