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Finding the Third Proportional to 2,276 and 3,631

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Solution

The third proportional to 2,276 and 3,631 is: 5,792.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276 : 3,631 = 3,631 : x
  2. Step 2: Convert to fraction form
    2,276/3,631 = 3,631/x
  3. Step 3: Cross multiply
    2,276x = 3,631 × 3,631
  4. Step 4: Simplify right side
    2,276x = 13,184,161
  5. Step 5: Solve for x
    x = 13,184,161/2,276
  6. Step 6: Final answer
    x = 5,792.69

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.