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Finding the Third Proportional to 7,927.88 and 11,914.59

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Solution

The third proportional to 7,927.88 and 11,914.59 is: 17,906.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.88 : 11,914.59 = 11,914.59 : x
  2. Step 2: Convert to fraction form
    7,927.88/11,914.59 = 11,914.59/x
  3. Step 3: Cross multiply
    7,927.88x = 11,914.59 × 11,914.59
  4. Step 4: Simplify right side
    7,927.88x = 141,957,544.23
  5. Step 5: Solve for x
    x = 141,957,544.23/7,927.88
  6. Step 6: Final answer
    x = 17,906.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.