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Finding the Third Proportional to 4,626 and 5,855

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Solution

The third proportional to 4,626 and 5,855 is: 7,410.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626 : 5,855 = 5,855 : x
  2. Step 2: Convert to fraction form
    4,626/5,855 = 5,855/x
  3. Step 3: Cross multiply
    4,626x = 5,855 × 5,855
  4. Step 4: Simplify right side
    4,626x = 34,281,025
  5. Step 5: Solve for x
    x = 34,281,025/4,626
  6. Step 6: Final answer
    x = 7,410.51

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.