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Finding the Third Proportional to 24,781.15 and 37,179.32

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Solution

The third proportional to 24,781.15 and 37,179.32 is: 55,780.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.15 : 37,179.32 = 37,179.32 : x
  2. Step 2: Convert to fraction form
    24,781.15/37,179.32 = 37,179.32/x
  3. Step 3: Cross multiply
    24,781.15x = 37,179.32 × 37,179.32
  4. Step 4: Simplify right side
    24,781.15x = 1,382,301,568.44
  5. Step 5: Solve for x
    x = 1,382,301,568.44/24,781.15
  6. Step 6: Final answer
    x = 55,780.37

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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.