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Finding the Third Proportional to 36,565 and 74,425

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Solution

The third proportional to 36,565 and 74,425 is: 151,485.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,565 : 74,425 = 74,425 : x
  2. Step 2: Convert to fraction form
    36,565/74,425 = 74,425/x
  3. Step 3: Cross multiply
    36,565x = 74,425 × 74,425
  4. Step 4: Simplify right side
    36,565x = 5,539,080,625
  5. Step 5: Solve for x
    x = 5,539,080,625/36,565
  6. Step 6: Final answer
    x = 151,485.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.