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Finding the Third Proportional to 8,396.16 and 12,351.23

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Solution

The third proportional to 8,396.16 and 12,351.23 is: 18,169.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.16 : 12,351.23 = 12,351.23 : x
  2. Step 2: Convert to fraction form
    8,396.16/12,351.23 = 12,351.23/x
  3. Step 3: Cross multiply
    8,396.16x = 12,351.23 × 12,351.23
  4. Step 4: Simplify right side
    8,396.16x = 152,552,990.59
  5. Step 5: Solve for x
    x = 152,552,990.59/8,396.16
  6. Step 6: Final answer
    x = 18,169.38

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.