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Finding the Third Proportional to 16,146.21 and 24,373.09

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Solution

The third proportional to 16,146.21 and 24,373.09 is: 36,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.21 : 24,373.09 = 24,373.09 : x
  2. Step 2: Convert to fraction form
    16,146.21/24,373.09 = 24,373.09/x
  3. Step 3: Cross multiply
    16,146.21x = 24,373.09 × 24,373.09
  4. Step 4: Simplify right side
    16,146.21x = 594,047,508.53
  5. Step 5: Solve for x
    x = 594,047,508.53/16,146.21
  6. Step 6: Final answer
    x = 36,791.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.