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Finding the Third Proportional to 17,965.13 and 29,166.75

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Solution

The third proportional to 17,965.13 and 29,166.75 is: 47,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,965.13 : 29,166.75 = 29,166.75 : x
  2. Step 2: Convert to fraction form
    17,965.13/29,166.75 = 29,166.75/x
  3. Step 3: Cross multiply
    17,965.13x = 29,166.75 × 29,166.75
  4. Step 4: Simplify right side
    17,965.13x = 850,699,305.56
  5. Step 5: Solve for x
    x = 850,699,305.56/17,965.13
  6. Step 6: Final answer
    x = 47,352.82

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.