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Finding the Third Proportional to 13,180 and 21,068

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Solution

The third proportional to 13,180 and 21,068 is: 33,676.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,180 : 21,068 = 21,068 : x
  2. Step 2: Convert to fraction form
    13,180/21,068 = 21,068/x
  3. Step 3: Cross multiply
    13,180x = 21,068 × 21,068
  4. Step 4: Simplify right side
    13,180x = 443,860,624
  5. Step 5: Solve for x
    x = 443,860,624/13,180
  6. Step 6: Final answer
    x = 33,676.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.