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Finding the Third Proportional to 34,711 and 50,770

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Solution

The third proportional to 34,711 and 50,770 is: 74,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,711 : 50,770 = 50,770 : x
  2. Step 2: Convert to fraction form
    34,711/50,770 = 50,770/x
  3. Step 3: Cross multiply
    34,711x = 50,770 × 50,770
  4. Step 4: Simplify right side
    34,711x = 2,577,592,900
  5. Step 5: Solve for x
    x = 2,577,592,900/34,711
  6. Step 6: Final answer
    x = 74,258.68

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.