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Finding the Third Proportional to 31,620 and 67,723

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Solution

The third proportional to 31,620 and 67,723 is: 145,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,620 : 67,723 = 67,723 : x
  2. Step 2: Convert to fraction form
    31,620/67,723 = 67,723/x
  3. Step 3: Cross multiply
    31,620x = 67,723 × 67,723
  4. Step 4: Simplify right side
    31,620x = 4,586,404,729
  5. Step 5: Solve for x
    x = 4,586,404,729/31,620
  6. Step 6: Final answer
    x = 145,047.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.