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Finding the Third Proportional to 2,057 and 5,111

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Solution

The third proportional to 2,057 and 5,111 is: 12,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057 : 5,111 = 5,111 : x
  2. Step 2: Convert to fraction form
    2,057/5,111 = 5,111/x
  3. Step 3: Cross multiply
    2,057x = 5,111 × 5,111
  4. Step 4: Simplify right side
    2,057x = 26,122,321
  5. Step 5: Solve for x
    x = 26,122,321/2,057
  6. Step 6: Final answer
    x = 12,699.23

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.