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Finding the Third Proportional to 27,164.25 and 57,278.25

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Solution

The third proportional to 27,164.25 and 57,278.25 is: 120,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.25 : 57,278.25 = 57,278.25 : x
  2. Step 2: Convert to fraction form
    27,164.25/57,278.25 = 57,278.25/x
  3. Step 3: Cross multiply
    27,164.25x = 57,278.25 × 57,278.25
  4. Step 4: Simplify right side
    27,164.25x = 3,280,797,923.06
  5. Step 5: Solve for x
    x = 3,280,797,923.06/27,164.25
  6. Step 6: Final answer
    x = 120,776.31

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.