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Finding the Third Proportional to 27,696 and 42,954

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Solution

The third proportional to 27,696 and 42,954 is: 66,617.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,696 : 42,954 = 42,954 : x
  2. Step 2: Convert to fraction form
    27,696/42,954 = 42,954/x
  3. Step 3: Cross multiply
    27,696x = 42,954 × 42,954
  4. Step 4: Simplify right side
    27,696x = 1,845,046,116
  5. Step 5: Solve for x
    x = 1,845,046,116/27,696
  6. Step 6: Final answer
    x = 66,617.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.