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Finding the Third Proportional to 16,104.66 and 24,082.59

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Solution

The third proportional to 16,104.66 and 24,082.59 is: 36,012.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,104.66 : 24,082.59 = 24,082.59 : x
  2. Step 2: Convert to fraction form
    16,104.66/24,082.59 = 24,082.59/x
  3. Step 3: Cross multiply
    16,104.66x = 24,082.59 × 24,082.59
  4. Step 4: Simplify right side
    16,104.66x = 579,971,321.73
  5. Step 5: Solve for x
    x = 579,971,321.73/16,104.66
  6. Step 6: Final answer
    x = 36,012.65

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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.