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Finding the Third Proportional to 13,319 and 20,893

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Solution

The third proportional to 13,319 and 20,893 is: 32,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,319 : 20,893 = 20,893 : x
  2. Step 2: Convert to fraction form
    13,319/20,893 = 20,893/x
  3. Step 3: Cross multiply
    13,319x = 20,893 × 20,893
  4. Step 4: Simplify right side
    13,319x = 436,517,449
  5. Step 5: Solve for x
    x = 436,517,449/13,319
  6. Step 6: Final answer
    x = 32,774.04

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.