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Finding the Third Proportional to 47,596.50 and 66,937.50

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Solution

The third proportional to 47,596.50 and 66,937.50 is: 94,137.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,596.50 : 66,937.50 = 66,937.50 : x
  2. Step 2: Convert to fraction form
    47,596.50/66,937.50 = 66,937.50/x
  3. Step 3: Cross multiply
    47,596.50x = 66,937.50 × 66,937.50
  4. Step 4: Simplify right side
    47,596.50x = 4,480,628,906.25
  5. Step 5: Solve for x
    x = 4,480,628,906.25/47,596.50
  6. Step 6: Final answer
    x = 94,137.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.