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Finding the Third Proportional to 19,777 and 43,418

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Solution

The third proportional to 19,777 and 43,418 is: 95,318.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777 : 43,418 = 43,418 : x
  2. Step 2: Convert to fraction form
    19,777/43,418 = 43,418/x
  3. Step 3: Cross multiply
    19,777x = 43,418 × 43,418
  4. Step 4: Simplify right side
    19,777x = 1,885,122,724
  5. Step 5: Solve for x
    x = 1,885,122,724/19,777
  6. Step 6: Final answer
    x = 95,318.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.