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Finding the Third Proportional to 2,396 and 5,152

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Solution

The third proportional to 2,396 and 5,152 is: 11,078.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396 : 5,152 = 5,152 : x
  2. Step 2: Convert to fraction form
    2,396/5,152 = 5,152/x
  3. Step 3: Cross multiply
    2,396x = 5,152 × 5,152
  4. Step 4: Simplify right side
    2,396x = 26,543,104
  5. Step 5: Solve for x
    x = 26,543,104/2,396
  6. Step 6: Final answer
    x = 11,078.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.