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Finding the Third Proportional to 31,350 and 48,596

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Solution

The third proportional to 31,350 and 48,596 is: 75,329.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,350 : 48,596 = 48,596 : x
  2. Step 2: Convert to fraction form
    31,350/48,596 = 48,596/x
  3. Step 3: Cross multiply
    31,350x = 48,596 × 48,596
  4. Step 4: Simplify right side
    31,350x = 2,361,571,216
  5. Step 5: Solve for x
    x = 2,361,571,216/31,350
  6. Step 6: Final answer
    x = 75,329.23

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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.