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Finding the Third Proportional to 13,521 and 29,041

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Solution

The third proportional to 13,521 and 29,041 is: 62,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,521 : 29,041 = 29,041 : x
  2. Step 2: Convert to fraction form
    13,521/29,041 = 29,041/x
  3. Step 3: Cross multiply
    13,521x = 29,041 × 29,041
  4. Step 4: Simplify right side
    13,521x = 843,379,681
  5. Step 5: Solve for x
    x = 843,379,681/13,521
  6. Step 6: Final answer
    x = 62,375.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.