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Finding the Third Proportional to 31,826.25 and 66,852

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Solution

The third proportional to 31,826.25 and 66,852 is: 140,424.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,826.25 : 66,852 = 66,852 : x
  2. Step 2: Convert to fraction form
    31,826.25/66,852 = 66,852/x
  3. Step 3: Cross multiply
    31,826.25x = 66,852 × 66,852
  4. Step 4: Simplify right side
    31,826.25x = 4,469,189,904
  5. Step 5: Solve for x
    x = 4,469,189,904/31,826.25
  6. Step 6: Final answer
    x = 140,424.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.