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Finding the Third Proportional to 41,021 and 89,455

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Solution

The third proportional to 41,021 and 89,455 is: 195,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,021 : 89,455 = 89,455 : x
  2. Step 2: Convert to fraction form
    41,021/89,455 = 89,455/x
  3. Step 3: Cross multiply
    41,021x = 89,455 × 89,455
  4. Step 4: Simplify right side
    41,021x = 8,002,197,025
  5. Step 5: Solve for x
    x = 8,002,197,025/41,021
  6. Step 6: Final answer
    x = 195,075.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.