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Finding the Third Proportional to 9,911.81 and 13,213.69

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Solution

The third proportional to 9,911.81 and 13,213.69 is: 17,615.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.81 : 13,213.69 = 13,213.69 : x
  2. Step 2: Convert to fraction form
    9,911.81/13,213.69 = 13,213.69/x
  3. Step 3: Cross multiply
    9,911.81x = 13,213.69 × 13,213.69
  4. Step 4: Simplify right side
    9,911.81x = 174,601,537.35
  5. Step 5: Solve for x
    x = 174,601,537.35/9,911.81
  6. Step 6: Final answer
    x = 17,615.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.