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Finding the Third Proportional to 11,824 and 18,320

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Solution

The third proportional to 11,824 and 18,320 is: 28,384.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,824 : 18,320 = 18,320 : x
  2. Step 2: Convert to fraction form
    11,824/18,320 = 18,320/x
  3. Step 3: Cross multiply
    11,824x = 18,320 × 18,320
  4. Step 4: Simplify right side
    11,824x = 335,622,400
  5. Step 5: Solve for x
    x = 335,622,400/11,824
  6. Step 6: Final answer
    x = 28,384.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.