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Finding the Third Proportional to 27,631 and 41,676.50

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Solution

The third proportional to 27,631 and 41,676.50 is: 62,861.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,631 : 41,676.50 = 41,676.50 : x
  2. Step 2: Convert to fraction form
    27,631/41,676.50 = 41,676.50/x
  3. Step 3: Cross multiply
    27,631x = 41,676.50 × 41,676.50
  4. Step 4: Simplify right side
    27,631x = 1,736,930,652.25
  5. Step 5: Solve for x
    x = 1,736,930,652.25/27,631
  6. Step 6: Final answer
    x = 62,861.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.