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Finding the Third Proportional to 21,402 and 44,166

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Solution

The third proportional to 21,402 and 44,166 is: 91,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402 : 44,166 = 44,166 : x
  2. Step 2: Convert to fraction form
    21,402/44,166 = 44,166/x
  3. Step 3: Cross multiply
    21,402x = 44,166 × 44,166
  4. Step 4: Simplify right side
    21,402x = 1,950,635,556
  5. Step 5: Solve for x
    x = 1,950,635,556/21,402
  6. Step 6: Final answer
    x = 91,142.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.