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Finding the Third Proportional to 5,802 and 12,393

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Solution

The third proportional to 5,802 and 12,393 is: 26,471.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 12,393 = 12,393 : x
  2. Step 2: Convert to fraction form
    5,802/12,393 = 12,393/x
  3. Step 3: Cross multiply
    5,802x = 12,393 × 12,393
  4. Step 4: Simplify right side
    5,802x = 153,586,449
  5. Step 5: Solve for x
    x = 153,586,449/5,802
  6. Step 6: Final answer
    x = 26,471.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.