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Finding the Third Proportional to 2,504.44 and 3,898.41

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Solution

The third proportional to 2,504.44 and 3,898.41 is: 6,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.44 : 3,898.41 = 3,898.41 : x
  2. Step 2: Convert to fraction form
    2,504.44/3,898.41 = 3,898.41/x
  3. Step 3: Cross multiply
    2,504.44x = 3,898.41 × 3,898.41
  4. Step 4: Simplify right side
    2,504.44x = 15,197,571.29
  5. Step 5: Solve for x
    x = 15,197,571.29/2,504.44
  6. Step 6: Final answer
    x = 6,068.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.