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Finding the Third Proportional to 34,942 and 55,734

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Solution

The third proportional to 34,942 and 55,734 is: 88,898.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,942 : 55,734 = 55,734 : x
  2. Step 2: Convert to fraction form
    34,942/55,734 = 55,734/x
  3. Step 3: Cross multiply
    34,942x = 55,734 × 55,734
  4. Step 4: Simplify right side
    34,942x = 3,106,278,756
  5. Step 5: Solve for x
    x = 3,106,278,756/34,942
  6. Step 6: Final answer
    x = 88,898.14

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.