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Finding the Third Proportional to 3,000.75 and 3,419.25

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Solution

The third proportional to 3,000.75 and 3,419.25 is: 3,896.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.75 : 3,419.25 = 3,419.25 : x
  2. Step 2: Convert to fraction form
    3,000.75/3,419.25 = 3,419.25/x
  3. Step 3: Cross multiply
    3,000.75x = 3,419.25 × 3,419.25
  4. Step 4: Simplify right side
    3,000.75x = 11,691,270.56
  5. Step 5: Solve for x
    x = 11,691,270.56/3,000.75
  6. Step 6: Final answer
    x = 3,896.12

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.