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Finding the Third Proportional to 3,407 and 5,111

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Solution

The third proportional to 3,407 and 5,111 is: 7,667.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 5,111 = 5,111 : x
  2. Step 2: Convert to fraction form
    3,407/5,111 = 5,111/x
  3. Step 3: Cross multiply
    3,407x = 5,111 × 5,111
  4. Step 4: Simplify right side
    3,407x = 26,122,321
  5. Step 5: Solve for x
    x = 26,122,321/3,407
  6. Step 6: Final answer
    x = 7,667.25

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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.