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Finding the Third Proportional to 36,255 and 51,055

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Solution

The third proportional to 36,255 and 51,055 is: 71,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,255 : 51,055 = 51,055 : x
  2. Step 2: Convert to fraction form
    36,255/51,055 = 51,055/x
  3. Step 3: Cross multiply
    36,255x = 51,055 × 51,055
  4. Step 4: Simplify right side
    36,255x = 2,606,613,025
  5. Step 5: Solve for x
    x = 2,606,613,025/36,255
  6. Step 6: Final answer
    x = 71,896.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.