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Finding the Third Proportional to 25,408.69 and 33,496.03

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Solution

The third proportional to 25,408.69 and 33,496.03 is: 44,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.69 : 33,496.03 = 33,496.03 : x
  2. Step 2: Convert to fraction form
    25,408.69/33,496.03 = 33,496.03/x
  3. Step 3: Cross multiply
    25,408.69x = 33,496.03 × 33,496.03
  4. Step 4: Simplify right side
    25,408.69x = 1,121,984,109.50
  5. Step 5: Solve for x
    x = 1,121,984,109.50/25,408.69
  6. Step 6: Final answer
    x = 44,157.50

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.