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Finding the Third Proportional to 27,907 and 43,320

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Solution

The third proportional to 27,907 and 43,320 is: 67,245.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907 : 43,320 = 43,320 : x
  2. Step 2: Convert to fraction form
    27,907/43,320 = 43,320/x
  3. Step 3: Cross multiply
    27,907x = 43,320 × 43,320
  4. Step 4: Simplify right side
    27,907x = 1,876,622,400
  5. Step 5: Solve for x
    x = 1,876,622,400/27,907
  6. Step 6: Final answer
    x = 67,245.58

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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.