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Finding the Third Proportional to 27,180.93 and 56,226.37

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Solution

The third proportional to 27,180.93 and 56,226.37 is: 116,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,180.93 : 56,226.37 = 56,226.37 : x
  2. Step 2: Convert to fraction form
    27,180.93/56,226.37 = 56,226.37/x
  3. Step 3: Cross multiply
    27,180.93x = 56,226.37 × 56,226.37
  4. Step 4: Simplify right side
    27,180.93x = 3,161,404,257.29
  5. Step 5: Solve for x
    x = 3,161,404,257.29/27,180.93
  6. Step 6: Final answer
    x = 116,309.64

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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.