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Finding the Third Proportional to 1,745.34 and 3,403.03

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Solution

The third proportional to 1,745.34 and 3,403.03 is: 6,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.34 : 3,403.03 = 3,403.03 : x
  2. Step 2: Convert to fraction form
    1,745.34/3,403.03 = 3,403.03/x
  3. Step 3: Cross multiply
    1,745.34x = 3,403.03 × 3,403.03
  4. Step 4: Simplify right side
    1,745.34x = 11,580,621.69
  5. Step 5: Solve for x
    x = 11,580,621.69/1,745.34
  6. Step 6: Final answer
    x = 6,635.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.