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Finding the Third Proportional to 3,135 and 7,105.50

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Solution

The third proportional to 3,135 and 7,105.50 is: 16,104.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135 : 7,105.50 = 7,105.50 : x
  2. Step 2: Convert to fraction form
    3,135/7,105.50 = 7,105.50/x
  3. Step 3: Cross multiply
    3,135x = 7,105.50 × 7,105.50
  4. Step 4: Simplify right side
    3,135x = 50,488,130.25
  5. Step 5: Solve for x
    x = 50,488,130.25/3,135
  6. Step 6: Final answer
    x = 16,104.67

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These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.