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Finding the Third Proportional to 6,107 and 12,538

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Solution

The third proportional to 6,107 and 12,538 is: 25,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107 : 12,538 = 12,538 : x
  2. Step 2: Convert to fraction form
    6,107/12,538 = 12,538/x
  3. Step 3: Cross multiply
    6,107x = 12,538 × 12,538
  4. Step 4: Simplify right side
    6,107x = 157,201,444
  5. Step 5: Solve for x
    x = 157,201,444/6,107
  6. Step 6: Final answer
    x = 25,741.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.