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Finding the Third Proportional to 31,176 and 48,296

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Solution

The third proportional to 31,176 and 48,296 is: 74,817.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,176 : 48,296 = 48,296 : x
  2. Step 2: Convert to fraction form
    31,176/48,296 = 48,296/x
  3. Step 3: Cross multiply
    31,176x = 48,296 × 48,296
  4. Step 4: Simplify right side
    31,176x = 2,332,503,616
  5. Step 5: Solve for x
    x = 2,332,503,616/31,176
  6. Step 6: Final answer
    x = 74,817.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.