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Finding the Third Proportional to 17,828 and 25,950

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Solution

The third proportional to 17,828 and 25,950 is: 37,772.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,828 : 25,950 = 25,950 : x
  2. Step 2: Convert to fraction form
    17,828/25,950 = 25,950/x
  3. Step 3: Cross multiply
    17,828x = 25,950 × 25,950
  4. Step 4: Simplify right side
    17,828x = 673,402,500
  5. Step 5: Solve for x
    x = 673,402,500/17,828
  6. Step 6: Final answer
    x = 37,772.18

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.