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Finding the Third Proportional to 12,993.94 and 19,764.31

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Solution

The third proportional to 12,993.94 and 19,764.31 is: 30,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993.94 : 19,764.31 = 19,764.31 : x
  2. Step 2: Convert to fraction form
    12,993.94/19,764.31 = 19,764.31/x
  3. Step 3: Cross multiply
    12,993.94x = 19,764.31 × 19,764.31
  4. Step 4: Simplify right side
    12,993.94x = 390,628,048.60
  5. Step 5: Solve for x
    x = 390,628,048.60/12,993.94
  6. Step 6: Final answer
    x = 30,062.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.