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Finding the Third Proportional to 4,114.13 and 6,791.34

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Solution

The third proportional to 4,114.13 and 6,791.34 is: 11,210.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.13 : 6,791.34 = 6,791.34 : x
  2. Step 2: Convert to fraction form
    4,114.13/6,791.34 = 6,791.34/x
  3. Step 3: Cross multiply
    4,114.13x = 6,791.34 × 6,791.34
  4. Step 4: Simplify right side
    4,114.13x = 46,122,349.93
  5. Step 5: Solve for x
    x = 46,122,349.93/4,114.13
  6. Step 6: Final answer
    x = 11,210.73

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.