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Finding the Third Proportional to 36,145 and 55,626

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Solution

The third proportional to 36,145 and 55,626 is: 85,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145 : 55,626 = 55,626 : x
  2. Step 2: Convert to fraction form
    36,145/55,626 = 55,626/x
  3. Step 3: Cross multiply
    36,145x = 55,626 × 55,626
  4. Step 4: Simplify right side
    36,145x = 3,094,251,876
  5. Step 5: Solve for x
    x = 3,094,251,876/36,145
  6. Step 6: Final answer
    x = 85,606.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.