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Finding the Third Proportional to 23,930 and 36,999

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Solution

The third proportional to 23,930 and 36,999 is: 57,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,930 : 36,999 = 36,999 : x
  2. Step 2: Convert to fraction form
    23,930/36,999 = 36,999/x
  3. Step 3: Cross multiply
    23,930x = 36,999 × 36,999
  4. Step 4: Simplify right side
    23,930x = 1,368,926,001
  5. Step 5: Solve for x
    x = 1,368,926,001/23,930
  6. Step 6: Final answer
    x = 57,205.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.