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Finding the Third Proportional to 3,519 and 7,509.50

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Solution

The third proportional to 3,519 and 7,509.50 is: 16,025.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 7,509.50 = 7,509.50 : x
  2. Step 2: Convert to fraction form
    3,519/7,509.50 = 7,509.50/x
  3. Step 3: Cross multiply
    3,519x = 7,509.50 × 7,509.50
  4. Step 4: Simplify right side
    3,519x = 56,392,590.25
  5. Step 5: Solve for x
    x = 56,392,590.25/3,519
  6. Step 6: Final answer
    x = 16,025.17

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.