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Finding the Third Proportional to 13,284 and 18,621

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Solution

The third proportional to 13,284 and 18,621 is: 26,102.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,284 : 18,621 = 18,621 : x
  2. Step 2: Convert to fraction form
    13,284/18,621 = 18,621/x
  3. Step 3: Cross multiply
    13,284x = 18,621 × 18,621
  4. Step 4: Simplify right side
    13,284x = 346,741,641
  5. Step 5: Solve for x
    x = 346,741,641/13,284
  6. Step 6: Final answer
    x = 26,102.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.