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Finding the Third Proportional to 41,846 and 58,530

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Solution

The third proportional to 41,846 and 58,530 is: 81,865.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,846 : 58,530 = 58,530 : x
  2. Step 2: Convert to fraction form
    41,846/58,530 = 58,530/x
  3. Step 3: Cross multiply
    41,846x = 58,530 × 58,530
  4. Step 4: Simplify right side
    41,846x = 3,425,760,900
  5. Step 5: Solve for x
    x = 3,425,760,900/41,846
  6. Step 6: Final answer
    x = 81,865.91

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.