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Finding the Third Proportional to 35,540.44 and 53,401.78

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Solution

The third proportional to 35,540.44 and 53,401.78 is: 80,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,540.44 : 53,401.78 = 53,401.78 : x
  2. Step 2: Convert to fraction form
    35,540.44/53,401.78 = 53,401.78/x
  3. Step 3: Cross multiply
    35,540.44x = 53,401.78 × 53,401.78
  4. Step 4: Simplify right side
    35,540.44x = 2,851,750,240.67
  5. Step 5: Solve for x
    x = 2,851,750,240.67/35,540.44
  6. Step 6: Final answer
    x = 80,239.59

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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.