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Finding the Third Proportional to 2,971 and 5,474

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Solution

The third proportional to 2,971 and 5,474 is: 10,085.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971 : 5,474 = 5,474 : x
  2. Step 2: Convert to fraction form
    2,971/5,474 = 5,474/x
  3. Step 3: Cross multiply
    2,971x = 5,474 × 5,474
  4. Step 4: Simplify right side
    2,971x = 29,964,676
  5. Step 5: Solve for x
    x = 29,964,676/2,971
  6. Step 6: Final answer
    x = 10,085.72

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.