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Finding the Third Proportional to 12,109 and 18,515.50

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Solution

The third proportional to 12,109 and 18,515.50 is: 28,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109 : 18,515.50 = 18,515.50 : x
  2. Step 2: Convert to fraction form
    12,109/18,515.50 = 18,515.50/x
  3. Step 3: Cross multiply
    12,109x = 18,515.50 × 18,515.50
  4. Step 4: Simplify right side
    12,109x = 342,823,740.25
  5. Step 5: Solve for x
    x = 342,823,740.25/12,109
  6. Step 6: Final answer
    x = 28,311.48

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.