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Finding the Third Proportional to 19,000.31 and 42,369.56

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Solution

The third proportional to 19,000.31 and 42,369.56 is: 94,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,000.31 : 42,369.56 = 42,369.56 : x
  2. Step 2: Convert to fraction form
    19,000.31/42,369.56 = 42,369.56/x
  3. Step 3: Cross multiply
    19,000.31x = 42,369.56 × 42,369.56
  4. Step 4: Simplify right side
    19,000.31x = 1,795,179,826.44
  5. Step 5: Solve for x
    x = 1,795,179,826.44/19,000.31
  6. Step 6: Final answer
    x = 94,481.59

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.