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Finding the Third Proportional to 2,774 and 6,425

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Solution

The third proportional to 2,774 and 6,425 is: 14,881.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 6,425 = 6,425 : x
  2. Step 2: Convert to fraction form
    2,774/6,425 = 6,425/x
  3. Step 3: Cross multiply
    2,774x = 6,425 × 6,425
  4. Step 4: Simplify right side
    2,774x = 41,280,625
  5. Step 5: Solve for x
    x = 41,280,625/2,774
  6. Step 6: Final answer
    x = 14,881.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.