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Finding the Third Proportional to 3,977.25 and 4,341.75

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Solution

The third proportional to 3,977.25 and 4,341.75 is: 4,739.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.25 : 4,341.75 = 4,341.75 : x
  2. Step 2: Convert to fraction form
    3,977.25/4,341.75 = 4,341.75/x
  3. Step 3: Cross multiply
    3,977.25x = 4,341.75 × 4,341.75
  4. Step 4: Simplify right side
    3,977.25x = 18,850,793.06
  5. Step 5: Solve for x
    x = 18,850,793.06/3,977.25
  6. Step 6: Final answer
    x = 4,739.66

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.