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Finding the Third Proportional to 18,974.25 and 30,157.31

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Solution

The third proportional to 18,974.25 and 30,157.31 is: 47,931.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,974.25 : 30,157.31 = 30,157.31 : x
  2. Step 2: Convert to fraction form
    18,974.25/30,157.31 = 30,157.31/x
  3. Step 3: Cross multiply
    18,974.25x = 30,157.31 × 30,157.31
  4. Step 4: Simplify right side
    18,974.25x = 909,463,497.22
  5. Step 5: Solve for x
    x = 909,463,497.22/18,974.25
  6. Step 6: Final answer
    x = 47,931.46

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.