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Finding the Third Proportional to 13,621 and 20,513

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Solution

The third proportional to 13,621 and 20,513 is: 30,892.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,621 : 20,513 = 20,513 : x
  2. Step 2: Convert to fraction form
    13,621/20,513 = 20,513/x
  3. Step 3: Cross multiply
    13,621x = 20,513 × 20,513
  4. Step 4: Simplify right side
    13,621x = 420,783,169
  5. Step 5: Solve for x
    x = 420,783,169/13,621
  6. Step 6: Final answer
    x = 30,892.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.