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Finding the Third Proportional to 2,745 and 5,773

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Solution

The third proportional to 2,745 and 5,773 is: 12,141.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745 : 5,773 = 5,773 : x
  2. Step 2: Convert to fraction form
    2,745/5,773 = 5,773/x
  3. Step 3: Cross multiply
    2,745x = 5,773 × 5,773
  4. Step 4: Simplify right side
    2,745x = 33,327,529
  5. Step 5: Solve for x
    x = 33,327,529/2,745
  6. Step 6: Final answer
    x = 12,141.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.