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Finding the Third Proportional to 27,626 and 43,055

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Solution

The third proportional to 27,626 and 43,055 is: 67,101.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,626 : 43,055 = 43,055 : x
  2. Step 2: Convert to fraction form
    27,626/43,055 = 43,055/x
  3. Step 3: Cross multiply
    27,626x = 43,055 × 43,055
  4. Step 4: Simplify right side
    27,626x = 1,853,733,025
  5. Step 5: Solve for x
    x = 1,853,733,025/27,626
  6. Step 6: Final answer
    x = 67,101.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.