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Finding the Third Proportional to 31,936 and 48,350

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Solution

The third proportional to 31,936 and 48,350 is: 73,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,936 : 48,350 = 48,350 : x
  2. Step 2: Convert to fraction form
    31,936/48,350 = 48,350/x
  3. Step 3: Cross multiply
    31,936x = 48,350 × 48,350
  4. Step 4: Simplify right side
    31,936x = 2,337,722,500
  5. Step 5: Solve for x
    x = 2,337,722,500/31,936
  6. Step 6: Final answer
    x = 73,200.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.