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Finding the Third Proportional to 4,490.44 and 6,418.41

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Solution

The third proportional to 4,490.44 and 6,418.41 is: 9,174.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.44 : 6,418.41 = 6,418.41 : x
  2. Step 2: Convert to fraction form
    4,490.44/6,418.41 = 6,418.41/x
  3. Step 3: Cross multiply
    4,490.44x = 6,418.41 × 6,418.41
  4. Step 4: Simplify right side
    4,490.44x = 41,195,938.79
  5. Step 5: Solve for x
    x = 41,195,938.79/4,490.44
  6. Step 6: Final answer
    x = 9,174.15

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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.