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Finding the Third Proportional to 2,698 and 4,215

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Solution

The third proportional to 2,698 and 4,215 is: 6,584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,698 : 4,215 = 4,215 : x
  2. Step 2: Convert to fraction form
    2,698/4,215 = 4,215/x
  3. Step 3: Cross multiply
    2,698x = 4,215 × 4,215
  4. Step 4: Simplify right side
    2,698x = 17,766,225
  5. Step 5: Solve for x
    x = 17,766,225/2,698
  6. Step 6: Final answer
    x = 6,584.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.