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Finding the Third Proportional to 23,992 and 35,972

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Solution

The third proportional to 23,992 and 35,972 is: 53,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,992 : 35,972 = 35,972 : x
  2. Step 2: Convert to fraction form
    23,992/35,972 = 35,972/x
  3. Step 3: Cross multiply
    23,992x = 35,972 × 35,972
  4. Step 4: Simplify right side
    23,992x = 1,293,984,784
  5. Step 5: Solve for x
    x = 1,293,984,784/23,992
  6. Step 6: Final answer
    x = 53,934.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.