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Finding the Third Proportional to 37,626.75 and 51,596.16

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Solution

The third proportional to 37,626.75 and 51,596.16 is: 70,751.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,626.75 : 51,596.16 = 51,596.16 : x
  2. Step 2: Convert to fraction form
    37,626.75/51,596.16 = 51,596.16/x
  3. Step 3: Cross multiply
    37,626.75x = 51,596.16 × 51,596.16
  4. Step 4: Simplify right side
    37,626.75x = 2,662,163,339.77
  5. Step 5: Solve for x
    x = 2,662,163,339.77/37,626.75
  6. Step 6: Final answer
    x = 70,751.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.