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Finding the Third Proportional to 723 and 1,956

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Solution

The third proportional to 723 and 1,956 is: 5,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    723 : 1,956 = 1,956 : x
  2. Step 2: Convert to fraction form
    723/1,956 = 1,956/x
  3. Step 3: Cross multiply
    723x = 1,956 × 1,956
  4. Step 4: Simplify right side
    723x = 3,825,936
  5. Step 5: Solve for x
    x = 3,825,936/723
  6. Step 6: Final answer
    x = 5,291.75

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.