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Finding the Third Proportional to 36,819 and 57,416

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Solution

The third proportional to 36,819 and 57,416 is: 89,535.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,819 : 57,416 = 57,416 : x
  2. Step 2: Convert to fraction form
    36,819/57,416 = 57,416/x
  3. Step 3: Cross multiply
    36,819x = 57,416 × 57,416
  4. Step 4: Simplify right side
    36,819x = 3,296,597,056
  5. Step 5: Solve for x
    x = 3,296,597,056/36,819
  6. Step 6: Final answer
    x = 89,535.21

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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.