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Finding the Third Proportional to 41,483 and 89,446

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Solution

The third proportional to 41,483 and 89,446 is: 192,864.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,483 : 89,446 = 89,446 : x
  2. Step 2: Convert to fraction form
    41,483/89,446 = 89,446/x
  3. Step 3: Cross multiply
    41,483x = 89,446 × 89,446
  4. Step 4: Simplify right side
    41,483x = 8,000,586,916
  5. Step 5: Solve for x
    x = 8,000,586,916/41,483
  6. Step 6: Final answer
    x = 192,864.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.