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Finding the Third Proportional to 51,022.50 and 74,976

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Solution

The third proportional to 51,022.50 and 74,976 is: 110,174.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,022.50 : 74,976 = 74,976 : x
  2. Step 2: Convert to fraction form
    51,022.50/74,976 = 74,976/x
  3. Step 3: Cross multiply
    51,022.50x = 74,976 × 74,976
  4. Step 4: Simplify right side
    51,022.50x = 5,621,400,576
  5. Step 5: Solve for x
    x = 5,621,400,576/51,022.50
  6. Step 6: Final answer
    x = 110,174.93

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.