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Finding the Third Proportional to 13,682.25 and 28,093.50

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Solution

The third proportional to 13,682.25 and 28,093.50 is: 57,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.25 : 28,093.50 = 28,093.50 : x
  2. Step 2: Convert to fraction form
    13,682.25/28,093.50 = 28,093.50/x
  3. Step 3: Cross multiply
    13,682.25x = 28,093.50 × 28,093.50
  4. Step 4: Simplify right side
    13,682.25x = 789,244,742.25
  5. Step 5: Solve for x
    x = 789,244,742.25/13,682.25
  6. Step 6: Final answer
    x = 57,683.84

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.