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Finding the Third Proportional to 17,745.96 and 29,577.66

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Solution

The third proportional to 17,745.96 and 29,577.66 is: 49,297.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,745.96 : 29,577.66 = 29,577.66 : x
  2. Step 2: Convert to fraction form
    17,745.96/29,577.66 = 29,577.66/x
  3. Step 3: Cross multiply
    17,745.96x = 29,577.66 × 29,577.66
  4. Step 4: Simplify right side
    17,745.96x = 874,837,749.24
  5. Step 5: Solve for x
    x = 874,837,749.24/17,745.96
  6. Step 6: Final answer
    x = 49,297.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.