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Finding the Third Proportional to 12,408.19 and 13,683.94

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Solution

The third proportional to 12,408.19 and 13,683.94 is: 15,090.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.19 : 13,683.94 = 13,683.94 : x
  2. Step 2: Convert to fraction form
    12,408.19/13,683.94 = 13,683.94/x
  3. Step 3: Cross multiply
    12,408.19x = 13,683.94 × 13,683.94
  4. Step 4: Simplify right side
    12,408.19x = 187,250,145.50
  5. Step 5: Solve for x
    x = 187,250,145.50/12,408.19
  6. Step 6: Final answer
    x = 15,090.85

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.