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Finding the Third Proportional to 1,626 and 3,303

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Solution

The third proportional to 1,626 and 3,303 is: 6,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626 : 3,303 = 3,303 : x
  2. Step 2: Convert to fraction form
    1,626/3,303 = 3,303/x
  3. Step 3: Cross multiply
    1,626x = 3,303 × 3,303
  4. Step 4: Simplify right side
    1,626x = 10,909,809
  5. Step 5: Solve for x
    x = 10,909,809/1,626
  6. Step 6: Final answer
    x = 6,709.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.