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Finding the Third Proportional to 28,667 and 60,815

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Solution

The third proportional to 28,667 and 60,815 is: 129,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,667 : 60,815 = 60,815 : x
  2. Step 2: Convert to fraction form
    28,667/60,815 = 60,815/x
  3. Step 3: Cross multiply
    28,667x = 60,815 × 60,815
  4. Step 4: Simplify right side
    28,667x = 3,698,464,225
  5. Step 5: Solve for x
    x = 3,698,464,225/28,667
  6. Step 6: Final answer
    x = 129,014.69

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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.