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Finding the Third Proportional to 34,908 and 49,856

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Solution

The third proportional to 34,908 and 49,856 is: 71,204.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,908 : 49,856 = 49,856 : x
  2. Step 2: Convert to fraction form
    34,908/49,856 = 49,856/x
  3. Step 3: Cross multiply
    34,908x = 49,856 × 49,856
  4. Step 4: Simplify right side
    34,908x = 2,485,620,736
  5. Step 5: Solve for x
    x = 2,485,620,736/34,908
  6. Step 6: Final answer
    x = 71,204.90

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.