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Finding the Third Proportional to 29,145.75 and 34,467.75

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Solution

The third proportional to 29,145.75 and 34,467.75 is: 40,761.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,145.75 : 34,467.75 = 34,467.75 : x
  2. Step 2: Convert to fraction form
    29,145.75/34,467.75 = 34,467.75/x
  3. Step 3: Cross multiply
    29,145.75x = 34,467.75 × 34,467.75
  4. Step 4: Simplify right side
    29,145.75x = 1,188,025,790.06
  5. Step 5: Solve for x
    x = 1,188,025,790.06/29,145.75
  6. Step 6: Final answer
    x = 40,761.54

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.