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Finding the Third Proportional to 34,053.75 and 37,197.56

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Solution

The third proportional to 34,053.75 and 37,197.56 is: 40,631.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,053.75 : 37,197.56 = 37,197.56 : x
  2. Step 2: Convert to fraction form
    34,053.75/37,197.56 = 37,197.56/x
  3. Step 3: Cross multiply
    34,053.75x = 37,197.56 × 37,197.56
  4. Step 4: Simplify right side
    34,053.75x = 1,383,658,655.94
  5. Step 5: Solve for x
    x = 1,383,658,655.94/34,053.75
  6. Step 6: Final answer
    x = 40,631.61

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.