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Finding the Third Proportional to 1,378 and 3,014

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Solution

The third proportional to 1,378 and 3,014 is: 6,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378 : 3,014 = 3,014 : x
  2. Step 2: Convert to fraction form
    1,378/3,014 = 3,014/x
  3. Step 3: Cross multiply
    1,378x = 3,014 × 3,014
  4. Step 4: Simplify right side
    1,378x = 9,084,196
  5. Step 5: Solve for x
    x = 9,084,196/1,378
  6. Step 6: Final answer
    x = 6,592.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.