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Finding the Third Proportional to 8,241 and 19,443

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Solution

The third proportional to 8,241 and 19,443 is: 45,871.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,241 : 19,443 = 19,443 : x
  2. Step 2: Convert to fraction form
    8,241/19,443 = 19,443/x
  3. Step 3: Cross multiply
    8,241x = 19,443 × 19,443
  4. Step 4: Simplify right side
    8,241x = 378,030,249
  5. Step 5: Solve for x
    x = 378,030,249/8,241
  6. Step 6: Final answer
    x = 45,871.89

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.