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Finding the Third Proportional to 13,381 and 30,986.50

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Solution

The third proportional to 13,381 and 30,986.50 is: 71,755.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381 : 30,986.50 = 30,986.50 : x
  2. Step 2: Convert to fraction form
    13,381/30,986.50 = 30,986.50/x
  3. Step 3: Cross multiply
    13,381x = 30,986.50 × 30,986.50
  4. Step 4: Simplify right side
    13,381x = 960,163,182.25
  5. Step 5: Solve for x
    x = 960,163,182.25/13,381
  6. Step 6: Final answer
    x = 71,755.71

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.