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Finding the Third Proportional to 11,940.75 and 18,160.88

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Solution

The third proportional to 11,940.75 and 18,160.88 is: 27,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.75 : 18,160.88 = 18,160.88 : x
  2. Step 2: Convert to fraction form
    11,940.75/18,160.88 = 18,160.88/x
  3. Step 3: Cross multiply
    11,940.75x = 18,160.88 × 18,160.88
  4. Step 4: Simplify right side
    11,940.75x = 329,817,380.77
  5. Step 5: Solve for x
    x = 329,817,380.77/11,940.75
  6. Step 6: Final answer
    x = 27,621.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.