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Finding the Third Proportional to 30,022.31 and 64,683.56

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Solution

The third proportional to 30,022.31 and 64,683.56 is: 139,361.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,022.31 : 64,683.56 = 64,683.56 : x
  2. Step 2: Convert to fraction form
    30,022.31/64,683.56 = 64,683.56/x
  3. Step 3: Cross multiply
    30,022.31x = 64,683.56 × 64,683.56
  4. Step 4: Simplify right side
    30,022.31x = 4,183,963,257.69
  5. Step 5: Solve for x
    x = 4,183,963,257.69/30,022.31
  6. Step 6: Final answer
    x = 139,361.79

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.