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Finding the Third Proportional to 2,486 and 2,984

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Solution

The third proportional to 2,486 and 2,984 is: 3,581.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486 : 2,984 = 2,984 : x
  2. Step 2: Convert to fraction form
    2,486/2,984 = 2,984/x
  3. Step 3: Cross multiply
    2,486x = 2,984 × 2,984
  4. Step 4: Simplify right side
    2,486x = 8,904,256
  5. Step 5: Solve for x
    x = 8,904,256/2,486
  6. Step 6: Final answer
    x = 3,581.76

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.