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Finding the Third Proportional to 28,170 and 59,795

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Solution

The third proportional to 28,170 and 59,795 is: 126,923.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,170 : 59,795 = 59,795 : x
  2. Step 2: Convert to fraction form
    28,170/59,795 = 59,795/x
  3. Step 3: Cross multiply
    28,170x = 59,795 × 59,795
  4. Step 4: Simplify right side
    28,170x = 3,575,442,025
  5. Step 5: Solve for x
    x = 3,575,442,025/28,170
  6. Step 6: Final answer
    x = 126,923.75

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