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Finding the Third Proportional to 1,380 and 3,012

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Solution

The third proportional to 1,380 and 3,012 is: 6,574.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380 : 3,012 = 3,012 : x
  2. Step 2: Convert to fraction form
    1,380/3,012 = 3,012/x
  3. Step 3: Cross multiply
    1,380x = 3,012 × 3,012
  4. Step 4: Simplify right side
    1,380x = 9,072,144
  5. Step 5: Solve for x
    x = 9,072,144/1,380
  6. Step 6: Final answer
    x = 6,574.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.