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Finding the Third Proportional to 12,743.44 and 19,683.56

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Solution

The third proportional to 12,743.44 and 19,683.56 is: 30,403.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,743.44 : 19,683.56 = 19,683.56 : x
  2. Step 2: Convert to fraction form
    12,743.44/19,683.56 = 19,683.56/x
  3. Step 3: Cross multiply
    12,743.44x = 19,683.56 × 19,683.56
  4. Step 4: Simplify right side
    12,743.44x = 387,442,632.69
  5. Step 5: Solve for x
    x = 387,442,632.69/12,743.44
  6. Step 6: Final answer
    x = 30,403.31

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.