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Finding the Third Proportional to 2,384 and 4,831

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Solution

The third proportional to 2,384 and 4,831 is: 9,789.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384 : 4,831 = 4,831 : x
  2. Step 2: Convert to fraction form
    2,384/4,831 = 4,831/x
  3. Step 3: Cross multiply
    2,384x = 4,831 × 4,831
  4. Step 4: Simplify right side
    2,384x = 23,338,561
  5. Step 5: Solve for x
    x = 23,338,561/2,384
  6. Step 6: Final answer
    x = 9,789.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.