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Finding the Third Proportional to 34,581.75 and 54,896.75

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Solution

The third proportional to 34,581.75 and 54,896.75 is: 87,145.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,581.75 : 54,896.75 = 54,896.75 : x
  2. Step 2: Convert to fraction form
    34,581.75/54,896.75 = 54,896.75/x
  3. Step 3: Cross multiply
    34,581.75x = 54,896.75 × 54,896.75
  4. Step 4: Simplify right side
    34,581.75x = 3,013,653,160.56
  5. Step 5: Solve for x
    x = 3,013,653,160.56/34,581.75
  6. Step 6: Final answer
    x = 87,145.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.