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Finding the Third Proportional to 13,851.56 and 30,619.13

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Solution

The third proportional to 13,851.56 and 30,619.13 is: 67,684.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.56 : 30,619.13 = 30,619.13 : x
  2. Step 2: Convert to fraction form
    13,851.56/30,619.13 = 30,619.13/x
  3. Step 3: Cross multiply
    13,851.56x = 30,619.13 × 30,619.13
  4. Step 4: Simplify right side
    13,851.56x = 937,530,815.77
  5. Step 5: Solve for x
    x = 937,530,815.77/13,851.56
  6. Step 6: Final answer
    x = 67,684.12

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.