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Finding the Third Proportional to 31,625 and 66,733

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Solution

The third proportional to 31,625 and 66,733 is: 140,815.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,625 : 66,733 = 66,733 : x
  2. Step 2: Convert to fraction form
    31,625/66,733 = 66,733/x
  3. Step 3: Cross multiply
    31,625x = 66,733 × 66,733
  4. Step 4: Simplify right side
    31,625x = 4,453,293,289
  5. Step 5: Solve for x
    x = 4,453,293,289/31,625
  6. Step 6: Final answer
    x = 140,815.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.