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Finding the Third Proportional to 5,015.25 and 10,805.06

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Solution

The third proportional to 5,015.25 and 10,805.06 is: 23,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,015.25 : 10,805.06 = 10,805.06 : x
  2. Step 2: Convert to fraction form
    5,015.25/10,805.06 = 10,805.06/x
  3. Step 3: Cross multiply
    5,015.25x = 10,805.06 × 10,805.06
  4. Step 4: Simplify right side
    5,015.25x = 116,749,375.63
  5. Step 5: Solve for x
    x = 116,749,375.63/5,015.25
  6. Step 6: Final answer
    x = 23,278.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.