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Finding the Third Proportional to 2,600 and 6,119

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Solution

The third proportional to 2,600 and 6,119 is: 14,400.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600 : 6,119 = 6,119 : x
  2. Step 2: Convert to fraction form
    2,600/6,119 = 6,119/x
  3. Step 3: Cross multiply
    2,600x = 6,119 × 6,119
  4. Step 4: Simplify right side
    2,600x = 37,442,161
  5. Step 5: Solve for x
    x = 37,442,161/2,600
  6. Step 6: Final answer
    x = 14,400.83

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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.