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Finding the Third Proportional to 16,161.40 and 24,575.27

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Solution

The third proportional to 16,161.40 and 24,575.27 is: 37,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,161.40 : 24,575.27 = 24,575.27 : x
  2. Step 2: Convert to fraction form
    16,161.40/24,575.27 = 24,575.27/x
  3. Step 3: Cross multiply
    16,161.40x = 24,575.27 × 24,575.27
  4. Step 4: Simplify right side
    16,161.40x = 603,944,064.53
  5. Step 5: Solve for x
    x = 603,944,064.53/16,161.40
  6. Step 6: Final answer
    x = 37,369.54

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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.