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Finding the Third Proportional to 19,227 and 28,393.50

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Solution

The third proportional to 19,227 and 28,393.50 is: 41,930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,227 : 28,393.50 = 28,393.50 : x
  2. Step 2: Convert to fraction form
    19,227/28,393.50 = 28,393.50/x
  3. Step 3: Cross multiply
    19,227x = 28,393.50 × 28,393.50
  4. Step 4: Simplify right side
    19,227x = 806,190,842.25
  5. Step 5: Solve for x
    x = 806,190,842.25/19,227
  6. Step 6: Final answer
    x = 41,930.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.