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Finding the Third Proportional to 16,195.78 and 24,544.69

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Solution

The third proportional to 16,195.78 and 24,544.69 is: 37,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,195.78 : 24,544.69 = 24,544.69 : x
  2. Step 2: Convert to fraction form
    16,195.78/24,544.69 = 24,544.69/x
  3. Step 3: Cross multiply
    16,195.78x = 24,544.69 × 24,544.69
  4. Step 4: Simplify right side
    16,195.78x = 602,441,684.47
  5. Step 5: Solve for x
    x = 602,441,684.47/16,195.78
  6. Step 6: Final answer
    x = 37,197.45

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.