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Finding the Third Proportional to 18,984 and 28,736

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Solution

The third proportional to 18,984 and 28,736 is: 43,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,984 : 28,736 = 28,736 : x
  2. Step 2: Convert to fraction form
    18,984/28,736 = 28,736/x
  3. Step 3: Cross multiply
    18,984x = 28,736 × 28,736
  4. Step 4: Simplify right side
    18,984x = 825,757,696
  5. Step 5: Solve for x
    x = 825,757,696/18,984
  6. Step 6: Final answer
    x = 43,497.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.