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Finding the Third Proportional to 34,014 and 51,150.75

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Solution

The third proportional to 34,014 and 51,150.75 is: 76,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,014 : 51,150.75 = 51,150.75 : x
  2. Step 2: Convert to fraction form
    34,014/51,150.75 = 51,150.75/x
  3. Step 3: Cross multiply
    34,014x = 51,150.75 × 51,150.75
  4. Step 4: Simplify right side
    34,014x = 2,616,399,225.56
  5. Step 5: Solve for x
    x = 2,616,399,225.56/34,014
  6. Step 6: Final answer
    x = 76,921.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.