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Finding the Third Proportional to 36,375 and 56,064

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Solution

The third proportional to 36,375 and 56,064 is: 86,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,375 : 56,064 = 56,064 : x
  2. Step 2: Convert to fraction form
    36,375/56,064 = 56,064/x
  3. Step 3: Cross multiply
    36,375x = 56,064 × 56,064
  4. Step 4: Simplify right side
    36,375x = 3,143,172,096
  5. Step 5: Solve for x
    x = 3,143,172,096/36,375
  6. Step 6: Final answer
    x = 86,410.23

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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.