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Finding the Third Proportional to 11,728.50 and 23,932.50

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Solution

The third proportional to 11,728.50 and 23,932.50 is: 48,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,728.50 : 23,932.50 = 23,932.50 : x
  2. Step 2: Convert to fraction form
    11,728.50/23,932.50 = 23,932.50/x
  3. Step 3: Cross multiply
    11,728.50x = 23,932.50 × 23,932.50
  4. Step 4: Simplify right side
    11,728.50x = 572,764,556.25
  5. Step 5: Solve for x
    x = 572,764,556.25/11,728.50
  6. Step 6: Final answer
    x = 48,835.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.