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Finding the Third Proportional to 31,919 and 48,322

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Solution

The third proportional to 31,919 and 48,322 is: 73,154.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,919 : 48,322 = 48,322 : x
  2. Step 2: Convert to fraction form
    31,919/48,322 = 48,322/x
  3. Step 3: Cross multiply
    31,919x = 48,322 × 48,322
  4. Step 4: Simplify right side
    31,919x = 2,335,015,684
  5. Step 5: Solve for x
    x = 2,335,015,684/31,919
  6. Step 6: Final answer
    x = 73,154.41

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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.