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Finding the Third Proportional to 24,099.75 and 37,067.63

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Solution

The third proportional to 24,099.75 and 37,067.63 is: 57,013.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,099.75 : 37,067.63 = 37,067.63 : x
  2. Step 2: Convert to fraction form
    24,099.75/37,067.63 = 37,067.63/x
  3. Step 3: Cross multiply
    24,099.75x = 37,067.63 × 37,067.63
  4. Step 4: Simplify right side
    24,099.75x = 1,374,008,823.14
  5. Step 5: Solve for x
    x = 1,374,008,823.14/24,099.75
  6. Step 6: Final answer
    x = 57,013.41

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.