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Finding the Third Proportional to 3,796.50 and 5,108.25

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Solution

The third proportional to 3,796.50 and 5,108.25 is: 6,873.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.50 : 5,108.25 = 5,108.25 : x
  2. Step 2: Convert to fraction form
    3,796.50/5,108.25 = 5,108.25/x
  3. Step 3: Cross multiply
    3,796.50x = 5,108.25 × 5,108.25
  4. Step 4: Simplify right side
    3,796.50x = 26,094,218.06
  5. Step 5: Solve for x
    x = 26,094,218.06/3,796.50
  6. Step 6: Final answer
    x = 6,873.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.