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Finding the Third Proportional to 18,424 and 28,333

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Solution

The third proportional to 18,424 and 28,333 is: 43,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,424 : 28,333 = 28,333 : x
  2. Step 2: Convert to fraction form
    18,424/28,333 = 28,333/x
  3. Step 3: Cross multiply
    18,424x = 28,333 × 28,333
  4. Step 4: Simplify right side
    18,424x = 802,758,889
  5. Step 5: Solve for x
    x = 802,758,889/18,424
  6. Step 6: Final answer
    x = 43,571.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.