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Finding the Third Proportional to 24,146.44 and 36,080.44

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Solution

The third proportional to 24,146.44 and 36,080.44 is: 53,912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,146.44 : 36,080.44 = 36,080.44 : x
  2. Step 2: Convert to fraction form
    24,146.44/36,080.44 = 36,080.44/x
  3. Step 3: Cross multiply
    24,146.44x = 36,080.44 × 36,080.44
  4. Step 4: Simplify right side
    24,146.44x = 1,301,797,970.19
  5. Step 5: Solve for x
    x = 1,301,797,970.19/24,146.44
  6. Step 6: Final answer
    x = 53,912.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.