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Finding the Third Proportional to 1,144 and 2,774

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Solution

The third proportional to 1,144 and 2,774 is: 6,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144 : 2,774 = 2,774 : x
  2. Step 2: Convert to fraction form
    1,144/2,774 = 2,774/x
  3. Step 3: Cross multiply
    1,144x = 2,774 × 2,774
  4. Step 4: Simplify right side
    1,144x = 7,695,076
  5. Step 5: Solve for x
    x = 7,695,076/1,144
  6. Step 6: Final answer
    x = 6,726.47

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.