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Finding the Third Proportional to 31,546 and 43,863

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Solution

The third proportional to 31,546 and 43,863 is: 60,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546 : 43,863 = 43,863 : x
  2. Step 2: Convert to fraction form
    31,546/43,863 = 43,863/x
  3. Step 3: Cross multiply
    31,546x = 43,863 × 43,863
  4. Step 4: Simplify right side
    31,546x = 1,923,962,769
  5. Step 5: Solve for x
    x = 1,923,962,769/31,546
  6. Step 6: Final answer
    x = 60,989.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.