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Finding the Third Proportional to 1,745.63 and 3,692.63

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Solution

The third proportional to 1,745.63 and 3,692.63 is: 7,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.63 : 3,692.63 = 3,692.63 : x
  2. Step 2: Convert to fraction form
    1,745.63/3,692.63 = 3,692.63/x
  3. Step 3: Cross multiply
    1,745.63x = 3,692.63 × 3,692.63
  4. Step 4: Simplify right side
    1,745.63x = 13,635,479.39
  5. Step 5: Solve for x
    x = 13,635,479.39/1,745.63
  6. Step 6: Final answer
    x = 7,811.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.