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Finding the Third Proportional to 27,992 and 58,354

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Solution

The third proportional to 27,992 and 58,354 is: 121,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,992 : 58,354 = 58,354 : x
  2. Step 2: Convert to fraction form
    27,992/58,354 = 58,354/x
  3. Step 3: Cross multiply
    27,992x = 58,354 × 58,354
  4. Step 4: Simplify right side
    27,992x = 3,405,189,316
  5. Step 5: Solve for x
    x = 3,405,189,316/27,992
  6. Step 6: Final answer
    x = 121,648.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.