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Finding the Third Proportional to 31,518 and 47,932

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Solution

The third proportional to 31,518 and 47,932 is: 72,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,518 : 47,932 = 47,932 : x
  2. Step 2: Convert to fraction form
    31,518/47,932 = 47,932/x
  3. Step 3: Cross multiply
    31,518x = 47,932 × 47,932
  4. Step 4: Simplify right side
    31,518x = 2,297,476,624
  5. Step 5: Solve for x
    x = 2,297,476,624/31,518
  6. Step 6: Final answer
    x = 72,894.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.