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Finding the Third Proportional to 27,638 and 43,083

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Solution

The third proportional to 27,638 and 43,083 is: 67,159.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,638 : 43,083 = 43,083 : x
  2. Step 2: Convert to fraction form
    27,638/43,083 = 43,083/x
  3. Step 3: Cross multiply
    27,638x = 43,083 × 43,083
  4. Step 4: Simplify right side
    27,638x = 1,856,144,889
  5. Step 5: Solve for x
    x = 1,856,144,889/27,638
  6. Step 6: Final answer
    x = 67,159.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.