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Finding the Third Proportional to 11,471.52 and 16,154.75

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Solution

The third proportional to 11,471.52 and 16,154.75 is: 22,749.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.52 : 16,154.75 = 16,154.75 : x
  2. Step 2: Convert to fraction form
    11,471.52/16,154.75 = 16,154.75/x
  3. Step 3: Cross multiply
    11,471.52x = 16,154.75 × 16,154.75
  4. Step 4: Simplify right side
    11,471.52x = 260,976,073.77
  5. Step 5: Solve for x
    x = 260,976,073.77/11,471.52
  6. Step 6: Final answer
    x = 22,749.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.