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Finding the Third Proportional to 27,204 and 56,868.50

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Solution

The third proportional to 27,204 and 56,868.50 is: 118,880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,204 : 56,868.50 = 56,868.50 : x
  2. Step 2: Convert to fraction form
    27,204/56,868.50 = 56,868.50/x
  3. Step 3: Cross multiply
    27,204x = 56,868.50 × 56,868.50
  4. Step 4: Simplify right side
    27,204x = 3,234,026,292.25
  5. Step 5: Solve for x
    x = 3,234,026,292.25/27,204
  6. Step 6: Final answer
    x = 118,880.54

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.