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Finding the Third Proportional to 31,631 and 66,185

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Solution

The third proportional to 31,631 and 66,185 is: 138,486.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,631 : 66,185 = 66,185 : x
  2. Step 2: Convert to fraction form
    31,631/66,185 = 66,185/x
  3. Step 3: Cross multiply
    31,631x = 66,185 × 66,185
  4. Step 4: Simplify right side
    31,631x = 4,380,454,225
  5. Step 5: Solve for x
    x = 4,380,454,225/31,631
  6. Step 6: Final answer
    x = 138,486.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.