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Finding the Third Proportional to 31,839.50 and 68,870

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Solution

The third proportional to 31,839.50 and 68,870 is: 148,968.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.50 : 68,870 = 68,870 : x
  2. Step 2: Convert to fraction form
    31,839.50/68,870 = 68,870/x
  3. Step 3: Cross multiply
    31,839.50x = 68,870 × 68,870
  4. Step 4: Simplify right side
    31,839.50x = 4,743,076,900
  5. Step 5: Solve for x
    x = 4,743,076,900/31,839.50
  6. Step 6: Final answer
    x = 148,968.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.