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Finding the Third Proportional to 10,226.25 and 13,683.94

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Solution

The third proportional to 10,226.25 and 13,683.94 is: 18,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,226.25 : 13,683.94 = 13,683.94 : x
  2. Step 2: Convert to fraction form
    10,226.25/13,683.94 = 13,683.94/x
  3. Step 3: Cross multiply
    10,226.25x = 13,683.94 × 13,683.94
  4. Step 4: Simplify right side
    10,226.25x = 187,250,145.50
  5. Step 5: Solve for x
    x = 187,250,145.50/10,226.25
  6. Step 6: Final answer
    x = 18,310.73

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.