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Finding the Third Proportional to 16,142.61 and 24,230.13

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Solution

The third proportional to 16,142.61 and 24,230.13 is: 36,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,142.61 : 24,230.13 = 24,230.13 : x
  2. Step 2: Convert to fraction form
    16,142.61/24,230.13 = 24,230.13/x
  3. Step 3: Cross multiply
    16,142.61x = 24,230.13 × 24,230.13
  4. Step 4: Simplify right side
    16,142.61x = 587,099,132.02
  5. Step 5: Solve for x
    x = 587,099,132.02/16,142.61
  6. Step 6: Final answer
    x = 36,369.54

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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.