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Finding the Third Proportional to 2,945 and 4,149.75

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Solution

The third proportional to 2,945 and 4,149.75 is: 5,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,945 : 4,149.75 = 4,149.75 : x
  2. Step 2: Convert to fraction form
    2,945/4,149.75 = 4,149.75/x
  3. Step 3: Cross multiply
    2,945x = 4,149.75 × 4,149.75
  4. Step 4: Simplify right side
    2,945x = 17,220,425.06
  5. Step 5: Solve for x
    x = 17,220,425.06/2,945
  6. Step 6: Final answer
    x = 5,847.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.