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Finding the Third Proportional to 18,786 and 23,835

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Solution

The third proportional to 18,786 and 23,835 is: 30,240.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,786 : 23,835 = 23,835 : x
  2. Step 2: Convert to fraction form
    18,786/23,835 = 23,835/x
  3. Step 3: Cross multiply
    18,786x = 23,835 × 23,835
  4. Step 4: Simplify right side
    18,786x = 568,107,225
  5. Step 5: Solve for x
    x = 568,107,225/18,786
  6. Step 6: Final answer
    x = 30,240.99

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.