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Finding the Third Proportional to 9,767 and 20,828

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Solution

The third proportional to 9,767 and 20,828 is: 44,415.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767 : 20,828 = 20,828 : x
  2. Step 2: Convert to fraction form
    9,767/20,828 = 20,828/x
  3. Step 3: Cross multiply
    9,767x = 20,828 × 20,828
  4. Step 4: Simplify right side
    9,767x = 433,805,584
  5. Step 5: Solve for x
    x = 433,805,584/9,767
  6. Step 6: Final answer
    x = 44,415.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.