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Finding the Third Proportional to 51,991.75 and 74,350.75

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Solution

The third proportional to 51,991.75 and 74,350.75 is: 106,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,991.75 : 74,350.75 = 74,350.75 : x
  2. Step 2: Convert to fraction form
    51,991.75/74,350.75 = 74,350.75/x
  3. Step 3: Cross multiply
    51,991.75x = 74,350.75 × 74,350.75
  4. Step 4: Simplify right side
    51,991.75x = 5,528,034,025.56
  5. Step 5: Solve for x
    x = 5,528,034,025.56/51,991.75
  6. Step 6: Final answer
    x = 106,325.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.