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Finding the Third Proportional to 27,997 and 43,354.50

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Solution

The third proportional to 27,997 and 43,354.50 is: 67,136.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997 : 43,354.50 = 43,354.50 : x
  2. Step 2: Convert to fraction form
    27,997/43,354.50 = 43,354.50/x
  3. Step 3: Cross multiply
    27,997x = 43,354.50 × 43,354.50
  4. Step 4: Simplify right side
    27,997x = 1,879,612,670.25
  5. Step 5: Solve for x
    x = 1,879,612,670.25/27,997
  6. Step 6: Final answer
    x = 67,136.22

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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.