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Finding the Third Proportional to 11,114.72 and 16,954.31

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Solution

The third proportional to 11,114.72 and 16,954.31 is: 25,861.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.72 : 16,954.31 = 16,954.31 : x
  2. Step 2: Convert to fraction form
    11,114.72/16,954.31 = 16,954.31/x
  3. Step 3: Cross multiply
    11,114.72x = 16,954.31 × 16,954.31
  4. Step 4: Simplify right side
    11,114.72x = 287,448,712.35
  5. Step 5: Solve for x
    x = 287,448,712.35/11,114.72
  6. Step 6: Final answer
    x = 25,861.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.