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Finding the Third Proportional to 27,771.50 and 59,647

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Solution

The third proportional to 27,771.50 and 59,647 is: 128,108.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,771.50 : 59,647 = 59,647 : x
  2. Step 2: Convert to fraction form
    27,771.50/59,647 = 59,647/x
  3. Step 3: Cross multiply
    27,771.50x = 59,647 × 59,647
  4. Step 4: Simplify right side
    27,771.50x = 3,557,764,609
  5. Step 5: Solve for x
    x = 3,557,764,609/27,771.50
  6. Step 6: Final answer
    x = 128,108.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.