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Finding the Third Proportional to 33,937.31 and 51,696.56

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Solution

The third proportional to 33,937.31 and 51,696.56 is: 78,749.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,937.31 : 51,696.56 = 51,696.56 : x
  2. Step 2: Convert to fraction form
    33,937.31/51,696.56 = 51,696.56/x
  3. Step 3: Cross multiply
    33,937.31x = 51,696.56 × 51,696.56
  4. Step 4: Simplify right side
    33,937.31x = 2,672,534,574.32
  5. Step 5: Solve for x
    x = 2,672,534,574.32/33,937.31
  6. Step 6: Final answer
    x = 78,749.15

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.