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Finding the Third Proportional to 12,816 and 18,424

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Solution

The third proportional to 12,816 and 18,424 is: 26,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,816 : 18,424 = 18,424 : x
  2. Step 2: Convert to fraction form
    12,816/18,424 = 18,424/x
  3. Step 3: Cross multiply
    12,816x = 18,424 × 18,424
  4. Step 4: Simplify right side
    12,816x = 339,443,776
  5. Step 5: Solve for x
    x = 339,443,776/12,816
  6. Step 6: Final answer
    x = 26,485.94

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.