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Finding the Third Proportional to 5,720 and 10,828

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Solution

The third proportional to 5,720 and 10,828 is: 20,497.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720 : 10,828 = 10,828 : x
  2. Step 2: Convert to fraction form
    5,720/10,828 = 10,828/x
  3. Step 3: Cross multiply
    5,720x = 10,828 × 10,828
  4. Step 4: Simplify right side
    5,720x = 117,245,584
  5. Step 5: Solve for x
    x = 117,245,584/5,720
  6. Step 6: Final answer
    x = 20,497.48

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.