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Finding the Third Proportional to 27,971 and 41,577

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Solution

The third proportional to 27,971 and 41,577 is: 61,801.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,971 : 41,577 = 41,577 : x
  2. Step 2: Convert to fraction form
    27,971/41,577 = 41,577/x
  3. Step 3: Cross multiply
    27,971x = 41,577 × 41,577
  4. Step 4: Simplify right side
    27,971x = 1,728,646,929
  5. Step 5: Solve for x
    x = 1,728,646,929/27,971
  6. Step 6: Final answer
    x = 61,801.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.