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Finding the Third Proportional to 7,499.25 and 17,361.75

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Solution

The third proportional to 7,499.25 and 17,361.75 is: 40,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,499.25 : 17,361.75 = 17,361.75 : x
  2. Step 2: Convert to fraction form
    7,499.25/17,361.75 = 17,361.75/x
  3. Step 3: Cross multiply
    7,499.25x = 17,361.75 × 17,361.75
  4. Step 4: Simplify right side
    7,499.25x = 301,430,363.06
  5. Step 5: Solve for x
    x = 301,430,363.06/7,499.25
  6. Step 6: Final answer
    x = 40,194.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.