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Finding the Third Proportional to 36,415.50 and 49,200

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Solution

The third proportional to 36,415.50 and 49,200 is: 66,472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,415.50 : 49,200 = 49,200 : x
  2. Step 2: Convert to fraction form
    36,415.50/49,200 = 49,200/x
  3. Step 3: Cross multiply
    36,415.50x = 49,200 × 49,200
  4. Step 4: Simplify right side
    36,415.50x = 2,420,640,000
  5. Step 5: Solve for x
    x = 2,420,640,000/36,415.50
  6. Step 6: Final answer
    x = 66,472.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.