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Finding the Third Proportional to 36,477 and 57,147

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Solution

The third proportional to 36,477 and 57,147 is: 89,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,477 : 57,147 = 57,147 : x
  2. Step 2: Convert to fraction form
    36,477/57,147 = 57,147/x
  3. Step 3: Cross multiply
    36,477x = 57,147 × 57,147
  4. Step 4: Simplify right side
    36,477x = 3,265,779,609
  5. Step 5: Solve for x
    x = 3,265,779,609/36,477
  6. Step 6: Final answer
    x = 89,529.83

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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.