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Finding the Third Proportional to 34,110.56 and 72,896.91

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Solution

The third proportional to 34,110.56 and 72,896.91 is: 155,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,110.56 : 72,896.91 = 72,896.91 : x
  2. Step 2: Convert to fraction form
    34,110.56/72,896.91 = 72,896.91/x
  3. Step 3: Cross multiply
    34,110.56x = 72,896.91 × 72,896.91
  4. Step 4: Simplify right side
    34,110.56x = 5,313,958,940.82
  5. Step 5: Solve for x
    x = 5,313,958,940.82/34,110.56
  6. Step 6: Final answer
    x = 155,786.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.