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Finding the Third Proportional to 12,802 and 18,827

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Solution

The third proportional to 12,802 and 18,827 is: 27,687.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802 : 18,827 = 18,827 : x
  2. Step 2: Convert to fraction form
    12,802/18,827 = 18,827/x
  3. Step 3: Cross multiply
    12,802x = 18,827 × 18,827
  4. Step 4: Simplify right side
    12,802x = 354,455,929
  5. Step 5: Solve for x
    x = 354,455,929/12,802
  6. Step 6: Final answer
    x = 27,687.54

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.