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Finding the Third Proportional to 27,649 and 41,673

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Solution

The third proportional to 27,649 and 41,673 is: 62,810.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,649 : 41,673 = 41,673 : x
  2. Step 2: Convert to fraction form
    27,649/41,673 = 41,673/x
  3. Step 3: Cross multiply
    27,649x = 41,673 × 41,673
  4. Step 4: Simplify right side
    27,649x = 1,736,638,929
  5. Step 5: Solve for x
    x = 1,736,638,929/27,649
  6. Step 6: Final answer
    x = 62,810.19

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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.