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Finding the Third Proportional to 29,112.75 and 31,596.75

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Solution

The third proportional to 29,112.75 and 31,596.75 is: 34,292.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,112.75 : 31,596.75 = 31,596.75 : x
  2. Step 2: Convert to fraction form
    29,112.75/31,596.75 = 31,596.75/x
  3. Step 3: Cross multiply
    29,112.75x = 31,596.75 × 31,596.75
  4. Step 4: Simplify right side
    29,112.75x = 998,354,610.56
  5. Step 5: Solve for x
    x = 998,354,610.56/29,112.75
  6. Step 6: Final answer
    x = 34,292.69

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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.