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Finding the Third Proportional to 13,414.50 and 16,962.75

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Solution

The third proportional to 13,414.50 and 16,962.75 is: 21,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,414.50 : 16,962.75 = 16,962.75 : x
  2. Step 2: Convert to fraction form
    13,414.50/16,962.75 = 16,962.75/x
  3. Step 3: Cross multiply
    13,414.50x = 16,962.75 × 16,962.75
  4. Step 4: Simplify right side
    13,414.50x = 287,734,887.56
  5. Step 5: Solve for x
    x = 287,734,887.56/13,414.50
  6. Step 6: Final answer
    x = 21,449.54

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These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.