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Finding the Third Proportional to 13,015.69 and 17,336.53

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Solution

The third proportional to 13,015.69 and 17,336.53 is: 23,091.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.69 : 17,336.53 = 17,336.53 : x
  2. Step 2: Convert to fraction form
    13,015.69/17,336.53 = 17,336.53/x
  3. Step 3: Cross multiply
    13,015.69x = 17,336.53 × 17,336.53
  4. Step 4: Simplify right side
    13,015.69x = 300,555,315.78
  5. Step 5: Solve for x
    x = 300,555,315.78/13,015.69
  6. Step 6: Final answer
    x = 23,091.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.