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Finding the Third Proportional to 11,576 and 23,971

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Solution

The third proportional to 11,576 and 23,971 is: 49,637.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,576 : 23,971 = 23,971 : x
  2. Step 2: Convert to fraction form
    11,576/23,971 = 23,971/x
  3. Step 3: Cross multiply
    11,576x = 23,971 × 23,971
  4. Step 4: Simplify right side
    11,576x = 574,608,841
  5. Step 5: Solve for x
    x = 574,608,841/11,576
  6. Step 6: Final answer
    x = 49,637.94

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.