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Finding the Third Proportional to 27,601.50 and 60,036

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Solution

The third proportional to 27,601.50 and 60,036 is: 130,584.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,601.50 : 60,036 = 60,036 : x
  2. Step 2: Convert to fraction form
    27,601.50/60,036 = 60,036/x
  3. Step 3: Cross multiply
    27,601.50x = 60,036 × 60,036
  4. Step 4: Simplify right side
    27,601.50x = 3,604,321,296
  5. Step 5: Solve for x
    x = 3,604,321,296/27,601.50
  6. Step 6: Final answer
    x = 130,584.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.