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Finding the Third Proportional to 1,728 and 2,118

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Solution

The third proportional to 1,728 and 2,118 is: 2,596.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,118 = 2,118 : x
  2. Step 2: Convert to fraction form
    1,728/2,118 = 2,118/x
  3. Step 3: Cross multiply
    1,728x = 2,118 × 2,118
  4. Step 4: Simplify right side
    1,728x = 4,485,924
  5. Step 5: Solve for x
    x = 4,485,924/1,728
  6. Step 6: Final answer
    x = 2,596.02

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.