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Finding the Third Proportional to 3,420 and 8,111

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Solution

The third proportional to 3,420 and 8,111 is: 19,236.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420 : 8,111 = 8,111 : x
  2. Step 2: Convert to fraction form
    3,420/8,111 = 8,111/x
  3. Step 3: Cross multiply
    3,420x = 8,111 × 8,111
  4. Step 4: Simplify right side
    3,420x = 65,788,321
  5. Step 5: Solve for x
    x = 65,788,321/3,420
  6. Step 6: Final answer
    x = 19,236.35

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.