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Finding the Third Proportional to 34,616.11 and 49,497.96

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Solution

The third proportional to 34,616.11 and 49,497.96 is: 70,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,616.11 : 49,497.96 = 49,497.96 : x
  2. Step 2: Convert to fraction form
    34,616.11/49,497.96 = 49,497.96/x
  3. Step 3: Cross multiply
    34,616.11x = 49,497.96 × 49,497.96
  4. Step 4: Simplify right side
    34,616.11x = 2,450,048,136.97
  5. Step 5: Solve for x
    x = 2,450,048,136.97/34,616.11
  6. Step 6: Final answer
    x = 70,777.69

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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.