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Finding the Third Proportional to 31,462 and 47,596

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Solution

The third proportional to 31,462 and 47,596 is: 72,003.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,462 : 47,596 = 47,596 : x
  2. Step 2: Convert to fraction form
    31,462/47,596 = 47,596/x
  3. Step 3: Cross multiply
    31,462x = 47,596 × 47,596
  4. Step 4: Simplify right side
    31,462x = 2,265,379,216
  5. Step 5: Solve for x
    x = 2,265,379,216/31,462
  6. Step 6: Final answer
    x = 72,003.66

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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.