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Finding the Third Proportional to 3,114.21 and 4,662.77

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Solution

The third proportional to 3,114.21 and 4,662.77 is: 6,981.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.21 : 4,662.77 = 4,662.77 : x
  2. Step 2: Convert to fraction form
    3,114.21/4,662.77 = 4,662.77/x
  3. Step 3: Cross multiply
    3,114.21x = 4,662.77 × 4,662.77
  4. Step 4: Simplify right side
    3,114.21x = 21,741,456.13
  5. Step 5: Solve for x
    x = 21,741,456.13/3,114.21
  6. Step 6: Final answer
    x = 6,981.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.