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Finding the Third Proportional to 13,573 and 20,621

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Solution

The third proportional to 13,573 and 20,621 is: 31,328.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573 : 20,621 = 20,621 : x
  2. Step 2: Convert to fraction form
    13,573/20,621 = 20,621/x
  3. Step 3: Cross multiply
    13,573x = 20,621 × 20,621
  4. Step 4: Simplify right side
    13,573x = 425,225,641
  5. Step 5: Solve for x
    x = 425,225,641/13,573
  6. Step 6: Final answer
    x = 31,328.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.