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Finding the Third Proportional to 8,914.75 and 13,796.42

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Solution

The third proportional to 8,914.75 and 13,796.42 is: 21,351.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,914.75 : 13,796.42 = 13,796.42 : x
  2. Step 2: Convert to fraction form
    8,914.75/13,796.42 = 13,796.42/x
  3. Step 3: Cross multiply
    8,914.75x = 13,796.42 × 13,796.42
  4. Step 4: Simplify right side
    8,914.75x = 190,341,202.66
  5. Step 5: Solve for x
    x = 190,341,202.66/8,914.75
  6. Step 6: Final answer
    x = 21,351.28

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.