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Finding the Third Proportional to 1,282 and 1,643

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Solution

The third proportional to 1,282 and 1,643 is: 2,105.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282 : 1,643 = 1,643 : x
  2. Step 2: Convert to fraction form
    1,282/1,643 = 1,643/x
  3. Step 3: Cross multiply
    1,282x = 1,643 × 1,643
  4. Step 4: Simplify right side
    1,282x = 2,699,449
  5. Step 5: Solve for x
    x = 2,699,449/1,282
  6. Step 6: Final answer
    x = 2,105.65

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.