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Finding the Third Proportional to 31,881 and 66,065

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Solution

The third proportional to 31,881 and 66,065 is: 136,902.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,881 : 66,065 = 66,065 : x
  2. Step 2: Convert to fraction form
    31,881/66,065 = 66,065/x
  3. Step 3: Cross multiply
    31,881x = 66,065 × 66,065
  4. Step 4: Simplify right side
    31,881x = 4,364,584,225
  5. Step 5: Solve for x
    x = 4,364,584,225/31,881
  6. Step 6: Final answer
    x = 136,902.36

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.