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Finding the Third Proportional to 2,783 and 5,643

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Solution

The third proportional to 2,783 and 5,643 is: 11,442.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783 : 5,643 = 5,643 : x
  2. Step 2: Convert to fraction form
    2,783/5,643 = 5,643/x
  3. Step 3: Cross multiply
    2,783x = 5,643 × 5,643
  4. Step 4: Simplify right side
    2,783x = 31,843,449
  5. Step 5: Solve for x
    x = 31,843,449/2,783
  6. Step 6: Final answer
    x = 11,442.13

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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.