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Finding the Third Proportional to 11,471.63 and 16,367.06

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Solution

The third proportional to 11,471.63 and 16,367.06 is: 23,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.63 : 16,367.06 = 16,367.06 : x
  2. Step 2: Convert to fraction form
    11,471.63/16,367.06 = 16,367.06/x
  3. Step 3: Cross multiply
    11,471.63x = 16,367.06 × 16,367.06
  4. Step 4: Simplify right side
    11,471.63x = 267,880,734.88
  5. Step 5: Solve for x
    x = 267,880,734.88/11,471.63
  6. Step 6: Final answer
    x = 23,351.59

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.