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Finding the Third Proportional to 11,660.63 and 17,934.75

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Solution

The third proportional to 11,660.63 and 17,934.75 is: 27,584.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.63 : 17,934.75 = 17,934.75 : x
  2. Step 2: Convert to fraction form
    11,660.63/17,934.75 = 17,934.75/x
  3. Step 3: Cross multiply
    11,660.63x = 17,934.75 × 17,934.75
  4. Step 4: Simplify right side
    11,660.63x = 321,655,257.56
  5. Step 5: Solve for x
    x = 321,655,257.56/11,660.63
  6. Step 6: Final answer
    x = 27,584.74

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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.