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Finding the Third Proportional to 9,112 and 13,697

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Solution

The third proportional to 9,112 and 13,697 is: 20,589.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 13,697 = 13,697 : x
  2. Step 2: Convert to fraction form
    9,112/13,697 = 13,697/x
  3. Step 3: Cross multiply
    9,112x = 13,697 × 13,697
  4. Step 4: Simplify right side
    9,112x = 187,607,809
  5. Step 5: Solve for x
    x = 187,607,809/9,112
  6. Step 6: Final answer
    x = 20,589.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.