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Finding the Third Proportional to 5,054.75 and 11,894

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Solution

The third proportional to 5,054.75 and 11,894 is: 27,986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.75 : 11,894 = 11,894 : x
  2. Step 2: Convert to fraction form
    5,054.75/11,894 = 11,894/x
  3. Step 3: Cross multiply
    5,054.75x = 11,894 × 11,894
  4. Step 4: Simplify right side
    5,054.75x = 141,467,236
  5. Step 5: Solve for x
    x = 141,467,236/5,054.75
  6. Step 6: Final answer
    x = 27,986.99

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.