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Finding the Third Proportional to 1,863.21 and 4,076.72

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Solution

The third proportional to 1,863.21 and 4,076.72 is: 8,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.21 : 4,076.72 = 4,076.72 : x
  2. Step 2: Convert to fraction form
    1,863.21/4,076.72 = 4,076.72/x
  3. Step 3: Cross multiply
    1,863.21x = 4,076.72 × 4,076.72
  4. Step 4: Simplify right side
    1,863.21x = 16,619,635.77
  5. Step 5: Solve for x
    x = 16,619,635.77/1,863.21
  6. Step 6: Final answer
    x = 8,919.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.