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Finding the Third Proportional to 31,706 and 48,404

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Solution

The third proportional to 31,706 and 48,404 is: 73,896.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706 : 48,404 = 48,404 : x
  2. Step 2: Convert to fraction form
    31,706/48,404 = 48,404/x
  3. Step 3: Cross multiply
    31,706x = 48,404 × 48,404
  4. Step 4: Simplify right side
    31,706x = 2,342,947,216
  5. Step 5: Solve for x
    x = 2,342,947,216/31,706
  6. Step 6: Final answer
    x = 73,896.02

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.