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Finding the Third Proportional to 41,676 and 59,553.94

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Solution

The third proportional to 41,676 and 59,553.94 is: 85,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,676 : 59,553.94 = 59,553.94 : x
  2. Step 2: Convert to fraction form
    41,676/59,553.94 = 59,553.94/x
  3. Step 3: Cross multiply
    41,676x = 59,553.94 × 59,553.94
  4. Step 4: Simplify right side
    41,676x = 3,546,671,471.75
  5. Step 5: Solve for x
    x = 3,546,671,471.75/41,676
  6. Step 6: Final answer
    x = 85,101.05

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.