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Finding the Third Proportional to 2,405 and 3,684

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Solution

The third proportional to 2,405 and 3,684 is: 5,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,405 : 3,684 = 3,684 : x
  2. Step 2: Convert to fraction form
    2,405/3,684 = 3,684/x
  3. Step 3: Cross multiply
    2,405x = 3,684 × 3,684
  4. Step 4: Simplify right side
    2,405x = 13,571,856
  5. Step 5: Solve for x
    x = 13,571,856/2,405
  6. Step 6: Final answer
    x = 5,643.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.