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Finding the Third Proportional to 2,718.56 and 4,084.80

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Solution

The third proportional to 2,718.56 and 4,084.80 is: 6,137.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.56 : 4,084.80 = 4,084.80 : x
  2. Step 2: Convert to fraction form
    2,718.56/4,084.80 = 4,084.80/x
  3. Step 3: Cross multiply
    2,718.56x = 4,084.80 × 4,084.80
  4. Step 4: Simplify right side
    2,718.56x = 16,685,629.34
  5. Step 5: Solve for x
    x = 16,685,629.34/2,718.56
  6. Step 6: Final answer
    x = 6,137.67

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Why These Related Problems?

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