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Finding the Third Proportional to 31,544 and 66,642

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Solution

The third proportional to 31,544 and 66,642 is: 140,792.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,544 : 66,642 = 66,642 : x
  2. Step 2: Convert to fraction form
    31,544/66,642 = 66,642/x
  3. Step 3: Cross multiply
    31,544x = 66,642 × 66,642
  4. Step 4: Simplify right side
    31,544x = 4,441,156,164
  5. Step 5: Solve for x
    x = 4,441,156,164/31,544
  6. Step 6: Final answer
    x = 140,792.42

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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.