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Finding the Third Proportional to 34,033.50 and 52,578

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Solution

The third proportional to 34,033.50 and 52,578 is: 81,227.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,033.50 : 52,578 = 52,578 : x
  2. Step 2: Convert to fraction form
    34,033.50/52,578 = 52,578/x
  3. Step 3: Cross multiply
    34,033.50x = 52,578 × 52,578
  4. Step 4: Simplify right side
    34,033.50x = 2,764,446,084
  5. Step 5: Solve for x
    x = 2,764,446,084/34,033.50
  6. Step 6: Final answer
    x = 81,227.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.