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Finding the Third Proportional to 27,710.94 and 57,392.56

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Solution

The third proportional to 27,710.94 and 57,392.56 is: 118,866.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.94 : 57,392.56 = 57,392.56 : x
  2. Step 2: Convert to fraction form
    27,710.94/57,392.56 = 57,392.56/x
  3. Step 3: Cross multiply
    27,710.94x = 57,392.56 × 57,392.56
  4. Step 4: Simplify right side
    27,710.94x = 3,293,906,230.32
  5. Step 5: Solve for x
    x = 3,293,906,230.32/27,710.94
  6. Step 6: Final answer
    x = 118,866.65

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.