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Finding the Third Proportional to 7,171 and 10,913

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Solution

The third proportional to 7,171 and 10,913 is: 16,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171 : 10,913 = 10,913 : x
  2. Step 2: Convert to fraction form
    7,171/10,913 = 10,913/x
  3. Step 3: Cross multiply
    7,171x = 10,913 × 10,913
  4. Step 4: Simplify right side
    7,171x = 119,093,569
  5. Step 5: Solve for x
    x = 119,093,569/7,171
  6. Step 6: Final answer
    x = 16,607.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.