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Finding the Third Proportional to 2,176 and 3,255.88

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Solution

The third proportional to 2,176 and 3,255.88 is: 4,871.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,176 : 3,255.88 = 3,255.88 : x
  2. Step 2: Convert to fraction form
    2,176/3,255.88 = 3,255.88/x
  3. Step 3: Cross multiply
    2,176x = 3,255.88 × 3,255.88
  4. Step 4: Simplify right side
    2,176x = 10,600,722.02
  5. Step 5: Solve for x
    x = 10,600,722.02/2,176
  6. Step 6: Final answer
    x = 4,871.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.