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Finding the Third Proportional to 2,419 and 3,396

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Solution

The third proportional to 2,419 and 3,396 is: 4,767.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,419 : 3,396 = 3,396 : x
  2. Step 2: Convert to fraction form
    2,419/3,396 = 3,396/x
  3. Step 3: Cross multiply
    2,419x = 3,396 × 3,396
  4. Step 4: Simplify right side
    2,419x = 11,532,816
  5. Step 5: Solve for x
    x = 11,532,816/2,419
  6. Step 6: Final answer
    x = 4,767.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.