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Finding the Third Proportional to 27,469.50 and 59,205

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Solution

The third proportional to 27,469.50 and 59,205 is: 127,604.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,469.50 : 59,205 = 59,205 : x
  2. Step 2: Convert to fraction form
    27,469.50/59,205 = 59,205/x
  3. Step 3: Cross multiply
    27,469.50x = 59,205 × 59,205
  4. Step 4: Simplify right side
    27,469.50x = 3,505,232,025
  5. Step 5: Solve for x
    x = 3,505,232,025/27,469.50
  6. Step 6: Final answer
    x = 127,604.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.