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Finding the Third Proportional to 25,165.69 and 35,270.44

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Solution

The third proportional to 25,165.69 and 35,270.44 is: 49,432.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,165.69 : 35,270.44 = 35,270.44 : x
  2. Step 2: Convert to fraction form
    25,165.69/35,270.44 = 35,270.44/x
  3. Step 3: Cross multiply
    25,165.69x = 35,270.44 × 35,270.44
  4. Step 4: Simplify right side
    25,165.69x = 1,244,003,761.44
  5. Step 5: Solve for x
    x = 1,244,003,761.44/25,165.69
  6. Step 6: Final answer
    x = 49,432.54

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.