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Finding the Third Proportional to 1,643 and 3,203

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Solution

The third proportional to 1,643 and 3,203 is: 6,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643 : 3,203 = 3,203 : x
  2. Step 2: Convert to fraction form
    1,643/3,203 = 3,203/x
  3. Step 3: Cross multiply
    1,643x = 3,203 × 3,203
  4. Step 4: Simplify right side
    1,643x = 10,259,209
  5. Step 5: Solve for x
    x = 10,259,209/1,643
  6. Step 6: Final answer
    x = 6,244.19

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.