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Finding the Third Proportional to 31,942.75 and 49,247

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Solution

The third proportional to 31,942.75 and 49,247 is: 75,925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,942.75 : 49,247 = 49,247 : x
  2. Step 2: Convert to fraction form
    31,942.75/49,247 = 49,247/x
  3. Step 3: Cross multiply
    31,942.75x = 49,247 × 49,247
  4. Step 4: Simplify right side
    31,942.75x = 2,425,267,009
  5. Step 5: Solve for x
    x = 2,425,267,009/31,942.75
  6. Step 6: Final answer
    x = 75,925.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.