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Finding the Third Proportional to 13,809 and 29,571

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Solution

The third proportional to 13,809 and 29,571 is: 63,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,809 : 29,571 = 29,571 : x
  2. Step 2: Convert to fraction form
    13,809/29,571 = 29,571/x
  3. Step 3: Cross multiply
    13,809x = 29,571 × 29,571
  4. Step 4: Simplify right side
    13,809x = 874,444,041
  5. Step 5: Solve for x
    x = 874,444,041/13,809
  6. Step 6: Final answer
    x = 63,324.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.