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Finding the Third Proportional to 3,512.81 and 7,676.44

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Solution

The third proportional to 3,512.81 and 7,676.44 is: 16,775.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.81 : 7,676.44 = 7,676.44 : x
  2. Step 2: Convert to fraction form
    3,512.81/7,676.44 = 7,676.44/x
  3. Step 3: Cross multiply
    3,512.81x = 7,676.44 × 7,676.44
  4. Step 4: Simplify right side
    3,512.81x = 58,927,692.69
  5. Step 5: Solve for x
    x = 58,927,692.69/3,512.81
  6. Step 6: Final answer
    x = 16,775.07

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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.