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Finding the Third Proportional to 2,586.09 and 3,880.41

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Solution

The third proportional to 2,586.09 and 3,880.41 is: 5,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.09 : 3,880.41 = 3,880.41 : x
  2. Step 2: Convert to fraction form
    2,586.09/3,880.41 = 3,880.41/x
  3. Step 3: Cross multiply
    2,586.09x = 3,880.41 × 3,880.41
  4. Step 4: Simplify right side
    2,586.09x = 15,057,552.67
  5. Step 5: Solve for x
    x = 15,057,552.67/2,586.09
  6. Step 6: Final answer
    x = 5,822.51

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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.