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Finding the Third Proportional to 11,704.50 and 23,887.13

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Solution

The third proportional to 11,704.50 and 23,887.13 is: 48,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,704.50 : 23,887.13 = 23,887.13 : x
  2. Step 2: Convert to fraction form
    11,704.50/23,887.13 = 23,887.13/x
  3. Step 3: Cross multiply
    11,704.50x = 23,887.13 × 23,887.13
  4. Step 4: Simplify right side
    11,704.50x = 570,594,740.77
  5. Step 5: Solve for x
    x = 570,594,740.77/11,704.50
  6. Step 6: Final answer
    x = 48,750.03

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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.