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Finding the Third Proportional to 12,741 and 29,976

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Solution

The third proportional to 12,741 and 29,976 is: 70,525.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,741 : 29,976 = 29,976 : x
  2. Step 2: Convert to fraction form
    12,741/29,976 = 29,976/x
  3. Step 3: Cross multiply
    12,741x = 29,976 × 29,976
  4. Step 4: Simplify right side
    12,741x = 898,560,576
  5. Step 5: Solve for x
    x = 898,560,576/12,741
  6. Step 6: Final answer
    x = 70,525.12

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.