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Finding the Third Proportional to 7,519 and 16,333.50

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Solution

The third proportional to 7,519 and 16,333.50 is: 35,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,519 : 16,333.50 = 16,333.50 : x
  2. Step 2: Convert to fraction form
    7,519/16,333.50 = 16,333.50/x
  3. Step 3: Cross multiply
    7,519x = 16,333.50 × 16,333.50
  4. Step 4: Simplify right side
    7,519x = 266,783,222.25
  5. Step 5: Solve for x
    x = 266,783,222.25/7,519
  6. Step 6: Final answer
    x = 35,481.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.