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Finding the Third Proportional to 2,606 and 6,134

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Solution

The third proportional to 2,606 and 6,134 is: 14,438.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606 : 6,134 = 6,134 : x
  2. Step 2: Convert to fraction form
    2,606/6,134 = 6,134/x
  3. Step 3: Cross multiply
    2,606x = 6,134 × 6,134
  4. Step 4: Simplify right side
    2,606x = 37,625,956
  5. Step 5: Solve for x
    x = 37,625,956/2,606
  6. Step 6: Final answer
    x = 14,438.20

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.