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Finding the Third Proportional to 11,471.63 and 17,639.44

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Solution

The third proportional to 11,471.63 and 17,639.44 is: 27,123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.63 : 17,639.44 = 17,639.44 : x
  2. Step 2: Convert to fraction form
    11,471.63/17,639.44 = 17,639.44/x
  3. Step 3: Cross multiply
    11,471.63x = 17,639.44 × 17,639.44
  4. Step 4: Simplify right side
    11,471.63x = 311,149,755.32
  5. Step 5: Solve for x
    x = 311,149,755.32/11,471.63
  6. Step 6: Final answer
    x = 27,123.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.