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Finding the Third Proportional to 4,024.94 and 5,305.38

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Solution

The third proportional to 4,024.94 and 5,305.38 is: 6,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,024.94 : 5,305.38 = 5,305.38 : x
  2. Step 2: Convert to fraction form
    4,024.94/5,305.38 = 5,305.38/x
  3. Step 3: Cross multiply
    4,024.94x = 5,305.38 × 5,305.38
  4. Step 4: Simplify right side
    4,024.94x = 28,147,003.89
  5. Step 5: Solve for x
    x = 28,147,003.89/4,024.94
  6. Step 6: Final answer
    x = 6,993.15

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.