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Finding the Third Proportional to 13,344.75 and 18,069.75

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Solution

The third proportional to 13,344.75 and 18,069.75 is: 24,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,344.75 : 18,069.75 = 18,069.75 : x
  2. Step 2: Convert to fraction form
    13,344.75/18,069.75 = 18,069.75/x
  3. Step 3: Cross multiply
    13,344.75x = 18,069.75 × 18,069.75
  4. Step 4: Simplify right side
    13,344.75x = 326,515,865.06
  5. Step 5: Solve for x
    x = 326,515,865.06/13,344.75
  6. Step 6: Final answer
    x = 24,467.74

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.