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Finding the Third Proportional to 27,628 and 41,672

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Solution

The third proportional to 27,628 and 41,672 is: 62,854.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,628 : 41,672 = 41,672 : x
  2. Step 2: Convert to fraction form
    27,628/41,672 = 41,672/x
  3. Step 3: Cross multiply
    27,628x = 41,672 × 41,672
  4. Step 4: Simplify right side
    27,628x = 1,736,555,584
  5. Step 5: Solve for x
    x = 1,736,555,584/27,628
  6. Step 6: Final answer
    x = 62,854.91

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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.