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Finding the Third Proportional to 13,780 and 20,191

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Solution

The third proportional to 13,780 and 20,191 is: 29,584.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780 : 20,191 = 20,191 : x
  2. Step 2: Convert to fraction form
    13,780/20,191 = 20,191/x
  3. Step 3: Cross multiply
    13,780x = 20,191 × 20,191
  4. Step 4: Simplify right side
    13,780x = 407,676,481
  5. Step 5: Solve for x
    x = 407,676,481/13,780
  6. Step 6: Final answer
    x = 29,584.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.