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Finding the Third Proportional to 51,933.66 and 81,351.84

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Solution

The third proportional to 51,933.66 and 81,351.84 is: 127,434.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,933.66 : 81,351.84 = 81,351.84 : x
  2. Step 2: Convert to fraction form
    51,933.66/81,351.84 = 81,351.84/x
  3. Step 3: Cross multiply
    51,933.66x = 81,351.84 × 81,351.84
  4. Step 4: Simplify right side
    51,933.66x = 6,618,122,481.52
  5. Step 5: Solve for x
    x = 6,618,122,481.52/51,933.66
  6. Step 6: Final answer
    x = 127,434.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.