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Finding the Third Proportional to 13,109.25 and 18,529.50

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Solution

The third proportional to 13,109.25 and 18,529.50 is: 26,190.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,109.25 : 18,529.50 = 18,529.50 : x
  2. Step 2: Convert to fraction form
    13,109.25/18,529.50 = 18,529.50/x
  3. Step 3: Cross multiply
    13,109.25x = 18,529.50 × 18,529.50
  4. Step 4: Simplify right side
    13,109.25x = 343,342,370.25
  5. Step 5: Solve for x
    x = 343,342,370.25/13,109.25
  6. Step 6: Final answer
    x = 26,190.85

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.