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Finding the Third Proportional to 4,018.99 and 6,144.29

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Solution

The third proportional to 4,018.99 and 6,144.29 is: 9,393.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,018.99 : 6,144.29 = 6,144.29 : x
  2. Step 2: Convert to fraction form
    4,018.99/6,144.29 = 6,144.29/x
  3. Step 3: Cross multiply
    4,018.99x = 6,144.29 × 6,144.29
  4. Step 4: Simplify right side
    4,018.99x = 37,752,336.09
  5. Step 5: Solve for x
    x = 37,752,336.09/4,018.99
  6. Step 6: Final answer
    x = 9,393.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.