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Finding the Third Proportional to 36,379 and 56,069

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Solution

The third proportional to 36,379 and 56,069 is: 86,416.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,379 : 56,069 = 56,069 : x
  2. Step 2: Convert to fraction form
    36,379/56,069 = 56,069/x
  3. Step 3: Cross multiply
    36,379x = 56,069 × 56,069
  4. Step 4: Simplify right side
    36,379x = 3,143,732,761
  5. Step 5: Solve for x
    x = 3,143,732,761/36,379
  6. Step 6: Final answer
    x = 86,416.14

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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.