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Finding the Third Proportional to 21,238 and 45,676

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Solution

The third proportional to 21,238 and 45,676 is: 98,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,238 : 45,676 = 45,676 : x
  2. Step 2: Convert to fraction form
    21,238/45,676 = 45,676/x
  3. Step 3: Cross multiply
    21,238x = 45,676 × 45,676
  4. Step 4: Simplify right side
    21,238x = 2,086,296,976
  5. Step 5: Solve for x
    x = 2,086,296,976/21,238
  6. Step 6: Final answer
    x = 98,234.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.