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Finding the Third Proportional to 11,660.20 and 17,947.83

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Solution

The third proportional to 11,660.20 and 17,947.83 is: 27,625.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.20 : 17,947.83 = 17,947.83 : x
  2. Step 2: Convert to fraction form
    11,660.20/17,947.83 = 17,947.83/x
  3. Step 3: Cross multiply
    11,660.20x = 17,947.83 × 17,947.83
  4. Step 4: Simplify right side
    11,660.20x = 322,124,534.40
  5. Step 5: Solve for x
    x = 322,124,534.40/11,660.20
  6. Step 6: Final answer
    x = 27,625.98

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