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Finding the Third Proportional to 1,633 and 3,509

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Solution

The third proportional to 1,633 and 3,509 is: 7,540.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,633 : 3,509 = 3,509 : x
  2. Step 2: Convert to fraction form
    1,633/3,509 = 3,509/x
  3. Step 3: Cross multiply
    1,633x = 3,509 × 3,509
  4. Step 4: Simplify right side
    1,633x = 12,313,081
  5. Step 5: Solve for x
    x = 12,313,081/1,633
  6. Step 6: Final answer
    x = 7,540.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.