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Finding the Third Proportional to 12,135.50 and 18,314.50

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Solution

The third proportional to 12,135.50 and 18,314.50 is: 27,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.50 : 18,314.50 = 18,314.50 : x
  2. Step 2: Convert to fraction form
    12,135.50/18,314.50 = 18,314.50/x
  3. Step 3: Cross multiply
    12,135.50x = 18,314.50 × 18,314.50
  4. Step 4: Simplify right side
    12,135.50x = 335,420,910.25
  5. Step 5: Solve for x
    x = 335,420,910.25/12,135.50
  6. Step 6: Final answer
    x = 27,639.64

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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.