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Finding the Third Proportional to 1,384 and 2,971

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Solution

The third proportional to 1,384 and 2,971 is: 6,377.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384 : 2,971 = 2,971 : x
  2. Step 2: Convert to fraction form
    1,384/2,971 = 2,971/x
  3. Step 3: Cross multiply
    1,384x = 2,971 × 2,971
  4. Step 4: Simplify right side
    1,384x = 8,826,841
  5. Step 5: Solve for x
    x = 8,826,841/1,384
  6. Step 6: Final answer
    x = 6,377.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.