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Finding the Third Proportional to 27,992 and 42,732

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Solution

The third proportional to 27,992 and 42,732 is: 65,233.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 42,732 = 42,732 : x
  2. Step 2: Convert to fraction form
    27,992/42,732 = 42,732/x
  3. Step 3: Cross multiply
    27,992x = 42,732 × 42,732
  4. Step 4: Simplify right side
    27,992x = 1,826,023,824
  5. Step 5: Solve for x
    x = 1,826,023,824/27,992
  6. Step 6: Final answer
    x = 65,233.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.