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Finding the Third Proportional to 13,040.16 and 19,621.41

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Solution

The third proportional to 13,040.16 and 19,621.41 is: 29,524.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,040.16 : 19,621.41 = 19,621.41 : x
  2. Step 2: Convert to fraction form
    13,040.16/19,621.41 = 19,621.41/x
  3. Step 3: Cross multiply
    13,040.16x = 19,621.41 × 19,621.41
  4. Step 4: Simplify right side
    13,040.16x = 384,999,583.23
  5. Step 5: Solve for x
    x = 384,999,583.23/13,040.16
  6. Step 6: Final answer
    x = 29,524.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.