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Finding the Third Proportional to 24,745.13 and 33,619.31

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Solution

The third proportional to 24,745.13 and 33,619.31 is: 45,675.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,745.13 : 33,619.31 = 33,619.31 : x
  2. Step 2: Convert to fraction form
    24,745.13/33,619.31 = 33,619.31/x
  3. Step 3: Cross multiply
    24,745.13x = 33,619.31 × 33,619.31
  4. Step 4: Simplify right side
    24,745.13x = 1,130,258,172.97
  5. Step 5: Solve for x
    x = 1,130,258,172.97/24,745.13
  6. Step 6: Final answer
    x = 45,675.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.