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Finding the Third Proportional to 36,296 and 56,556

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Solution

The third proportional to 36,296 and 56,556 is: 88,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,296 : 56,556 = 56,556 : x
  2. Step 2: Convert to fraction form
    36,296/56,556 = 56,556/x
  3. Step 3: Cross multiply
    36,296x = 56,556 × 56,556
  4. Step 4: Simplify right side
    36,296x = 3,198,581,136
  5. Step 5: Solve for x
    x = 3,198,581,136/36,296
  6. Step 6: Final answer
    x = 88,124.89

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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.