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Finding the Third Proportional to 19,978.73 and 33,293.32

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Solution

The third proportional to 19,978.73 and 33,293.32 is: 55,481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.73 : 33,293.32 = 33,293.32 : x
  2. Step 2: Convert to fraction form
    19,978.73/33,293.32 = 33,293.32/x
  3. Step 3: Cross multiply
    19,978.73x = 33,293.32 × 33,293.32
  4. Step 4: Simplify right side
    19,978.73x = 1,108,445,177.43
  5. Step 5: Solve for x
    x = 1,108,445,177.43/19,978.73
  6. Step 6: Final answer
    x = 55,481.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.