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Finding the Third Proportional to 27,038 and 36,167

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Solution

The third proportional to 27,038 and 36,167 is: 48,378.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038 : 36,167 = 36,167 : x
  2. Step 2: Convert to fraction form
    27,038/36,167 = 36,167/x
  3. Step 3: Cross multiply
    27,038x = 36,167 × 36,167
  4. Step 4: Simplify right side
    27,038x = 1,308,051,889
  5. Step 5: Solve for x
    x = 1,308,051,889/27,038
  6. Step 6: Final answer
    x = 48,378.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.