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Finding the Third Proportional to 46,992 and 68,613

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Solution

The third proportional to 46,992 and 68,613 is: 100,181.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,992 : 68,613 = 68,613 : x
  2. Step 2: Convert to fraction form
    46,992/68,613 = 68,613/x
  3. Step 3: Cross multiply
    46,992x = 68,613 × 68,613
  4. Step 4: Simplify right side
    46,992x = 4,707,743,769
  5. Step 5: Solve for x
    x = 4,707,743,769/46,992
  6. Step 6: Final answer
    x = 100,181.81

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.