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Finding the Third Proportional to 27,243 and 41,657

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Solution

The third proportional to 27,243 and 41,657 is: 63,697.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 41,657 = 41,657 : x
  2. Step 2: Convert to fraction form
    27,243/41,657 = 41,657/x
  3. Step 3: Cross multiply
    27,243x = 41,657 × 41,657
  4. Step 4: Simplify right side
    27,243x = 1,735,305,649
  5. Step 5: Solve for x
    x = 1,735,305,649/27,243
  6. Step 6: Final answer
    x = 63,697.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.