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Finding the Third Proportional to 31,836 and 66,286

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Solution

The third proportional to 31,836 and 66,286 is: 138,014.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,836 : 66,286 = 66,286 : x
  2. Step 2: Convert to fraction form
    31,836/66,286 = 66,286/x
  3. Step 3: Cross multiply
    31,836x = 66,286 × 66,286
  4. Step 4: Simplify right side
    31,836x = 4,393,833,796
  5. Step 5: Solve for x
    x = 4,393,833,796/31,836
  6. Step 6: Final answer
    x = 138,014.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.