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Finding the Third Proportional to 36,920 and 57,274.50

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Solution

The third proportional to 36,920 and 57,274.50 is: 88,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,920 : 57,274.50 = 57,274.50 : x
  2. Step 2: Convert to fraction form
    36,920/57,274.50 = 57,274.50/x
  3. Step 3: Cross multiply
    36,920x = 57,274.50 × 57,274.50
  4. Step 4: Simplify right side
    36,920x = 3,280,368,350.25
  5. Step 5: Solve for x
    x = 3,280,368,350.25/36,920
  6. Step 6: Final answer
    x = 88,850.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.