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Finding the Third Proportional to 31,512 and 49,322

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Solution

The third proportional to 31,512 and 49,322 is: 77,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 49,322 = 49,322 : x
  2. Step 2: Convert to fraction form
    31,512/49,322 = 49,322/x
  3. Step 3: Cross multiply
    31,512x = 49,322 × 49,322
  4. Step 4: Simplify right side
    31,512x = 2,432,659,684
  5. Step 5: Solve for x
    x = 2,432,659,684/31,512
  6. Step 6: Final answer
    x = 77,197.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.