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Finding the Third Proportional to 27,291 and 40,971

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Solution

The third proportional to 27,291 and 40,971 is: 61,508.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,291 : 40,971 = 40,971 : x
  2. Step 2: Convert to fraction form
    27,291/40,971 = 40,971/x
  3. Step 3: Cross multiply
    27,291x = 40,971 × 40,971
  4. Step 4: Simplify right side
    27,291x = 1,678,622,841
  5. Step 5: Solve for x
    x = 1,678,622,841/27,291
  6. Step 6: Final answer
    x = 61,508.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.