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Finding the Third Proportional to 2,012 and 2,276

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Solution

The third proportional to 2,012 and 2,276 is: 2,574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012 : 2,276 = 2,276 : x
  2. Step 2: Convert to fraction form
    2,012/2,276 = 2,276/x
  3. Step 3: Cross multiply
    2,012x = 2,276 × 2,276
  4. Step 4: Simplify right side
    2,012x = 5,180,176
  5. Step 5: Solve for x
    x = 5,180,176/2,012
  6. Step 6: Final answer
    x = 2,574.64

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.