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Finding the Third Proportional to 9,738 and 20,772

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Solution

The third proportional to 9,738 and 20,772 is: 44,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738 : 20,772 = 20,772 : x
  2. Step 2: Convert to fraction form
    9,738/20,772 = 20,772/x
  3. Step 3: Cross multiply
    9,738x = 20,772 × 20,772
  4. Step 4: Simplify right side
    9,738x = 431,475,984
  5. Step 5: Solve for x
    x = 431,475,984/9,738
  6. Step 6: Final answer
    x = 44,308.48

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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.