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Finding the Third Proportional to 21,349 and 44,945

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Solution

The third proportional to 21,349 and 44,945 is: 94,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,349 : 44,945 = 44,945 : x
  2. Step 2: Convert to fraction form
    21,349/44,945 = 44,945/x
  3. Step 3: Cross multiply
    21,349x = 44,945 × 44,945
  4. Step 4: Simplify right side
    21,349x = 2,020,053,025
  5. Step 5: Solve for x
    x = 2,020,053,025/21,349
  6. Step 6: Final answer
    x = 94,620.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.