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Finding the Third Proportional to 9,741 and 20,778

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Solution

The third proportional to 9,741 and 20,778 is: 44,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741 : 20,778 = 20,778 : x
  2. Step 2: Convert to fraction form
    9,741/20,778 = 20,778/x
  3. Step 3: Cross multiply
    9,741x = 20,778 × 20,778
  4. Step 4: Simplify right side
    9,741x = 431,725,284
  5. Step 5: Solve for x
    x = 431,725,284/9,741
  6. Step 6: Final answer
    x = 44,320.43

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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.