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Finding the Third Proportional to 1,974 and 3,558

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Solution

The third proportional to 1,974 and 3,558 is: 6,413.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974 : 3,558 = 3,558 : x
  2. Step 2: Convert to fraction form
    1,974/3,558 = 3,558/x
  3. Step 3: Cross multiply
    1,974x = 3,558 × 3,558
  4. Step 4: Simplify right side
    1,974x = 12,659,364
  5. Step 5: Solve for x
    x = 12,659,364/1,974
  6. Step 6: Final answer
    x = 6,413.05

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.