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Finding the Third Proportional to 36,295 and 57,035

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Solution

The third proportional to 36,295 and 57,035 is: 89,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,295 : 57,035 = 57,035 : x
  2. Step 2: Convert to fraction form
    36,295/57,035 = 57,035/x
  3. Step 3: Cross multiply
    36,295x = 57,035 × 57,035
  4. Step 4: Simplify right side
    36,295x = 3,252,991,225
  5. Step 5: Solve for x
    x = 3,252,991,225/36,295
  6. Step 6: Final answer
    x = 89,626.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.