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Finding the Third Proportional to 13,518 and 18,082.31

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Solution

The third proportional to 13,518 and 18,082.31 is: 24,187.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,518 : 18,082.31 = 18,082.31 : x
  2. Step 2: Convert to fraction form
    13,518/18,082.31 = 18,082.31/x
  3. Step 3: Cross multiply
    13,518x = 18,082.31 × 18,082.31
  4. Step 4: Simplify right side
    13,518x = 326,970,025.35
  5. Step 5: Solve for x
    x = 326,970,025.35/13,518
  6. Step 6: Final answer
    x = 24,187.75

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.