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Finding the Third Proportional to 9,041 and 19,445

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Solution

The third proportional to 9,041 and 19,445 is: 41,821.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041 : 19,445 = 19,445 : x
  2. Step 2: Convert to fraction form
    9,041/19,445 = 19,445/x
  3. Step 3: Cross multiply
    9,041x = 19,445 × 19,445
  4. Step 4: Simplify right side
    9,041x = 378,108,025
  5. Step 5: Solve for x
    x = 378,108,025/9,041
  6. Step 6: Final answer
    x = 41,821.48

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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.