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Finding the Third Proportional to 13,682.67 and 17,483.34

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Solution

The third proportional to 13,682.67 and 17,483.34 is: 22,339.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.67 : 17,483.34 = 17,483.34 : x
  2. Step 2: Convert to fraction form
    13,682.67/17,483.34 = 17,483.34/x
  3. Step 3: Cross multiply
    13,682.67x = 17,483.34 × 17,483.34
  4. Step 4: Simplify right side
    13,682.67x = 305,667,308.68
  5. Step 5: Solve for x
    x = 305,667,308.68/13,682.67
  6. Step 6: Final answer
    x = 22,339.74

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.