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Finding the Third Proportional to 36,954.75 and 56,354.25

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Solution

The third proportional to 36,954.75 and 56,354.25 is: 85,937.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,954.75 : 56,354.25 = 56,354.25 : x
  2. Step 2: Convert to fraction form
    36,954.75/56,354.25 = 56,354.25/x
  3. Step 3: Cross multiply
    36,954.75x = 56,354.25 × 56,354.25
  4. Step 4: Simplify right side
    36,954.75x = 3,175,801,493.06
  5. Step 5: Solve for x
    x = 3,175,801,493.06/36,954.75
  6. Step 6: Final answer
    x = 85,937.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.