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Finding the Third Proportional to 10,104.75 and 11,927.25

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Solution

The third proportional to 10,104.75 and 11,927.25 is: 14,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,104.75 : 11,927.25 = 11,927.25 : x
  2. Step 2: Convert to fraction form
    10,104.75/11,927.25 = 11,927.25/x
  3. Step 3: Cross multiply
    10,104.75x = 11,927.25 × 11,927.25
  4. Step 4: Simplify right side
    10,104.75x = 142,259,292.56
  5. Step 5: Solve for x
    x = 142,259,292.56/10,104.75
  6. Step 6: Final answer
    x = 14,078.46

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.