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Finding the Third Proportional to 8,364.09 and 13,447.27

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Solution

The third proportional to 8,364.09 and 13,447.27 is: 21,619.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.09 : 13,447.27 = 13,447.27 : x
  2. Step 2: Convert to fraction form
    8,364.09/13,447.27 = 13,447.27/x
  3. Step 3: Cross multiply
    8,364.09x = 13,447.27 × 13,447.27
  4. Step 4: Simplify right side
    8,364.09x = 180,828,952.79
  5. Step 5: Solve for x
    x = 180,828,952.79/8,364.09
  6. Step 6: Final answer
    x = 21,619.67

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.