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Finding the Third Proportional to 11,238.50 and 23,203

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Solution

The third proportional to 11,238.50 and 23,203 is: 47,904.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,238.50 : 23,203 = 23,203 : x
  2. Step 2: Convert to fraction form
    11,238.50/23,203 = 23,203/x
  3. Step 3: Cross multiply
    11,238.50x = 23,203 × 23,203
  4. Step 4: Simplify right side
    11,238.50x = 538,379,209
  5. Step 5: Solve for x
    x = 538,379,209/11,238.50
  6. Step 6: Final answer
    x = 47,904.90

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.