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Finding the Third Proportional to 9,777 and 20,943

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Solution

The third proportional to 9,777 and 20,943 is: 44,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777 : 20,943 = 20,943 : x
  2. Step 2: Convert to fraction form
    9,777/20,943 = 20,943/x
  3. Step 3: Cross multiply
    9,777x = 20,943 × 20,943
  4. Step 4: Simplify right side
    9,777x = 438,609,249
  5. Step 5: Solve for x
    x = 438,609,249/9,777
  6. Step 6: Final answer
    x = 44,861.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.