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Finding the Third Proportional to 31,124 and 47,838

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Solution

The third proportional to 31,124 and 47,838 is: 73,527.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,124 : 47,838 = 47,838 : x
  2. Step 2: Convert to fraction form
    31,124/47,838 = 47,838/x
  3. Step 3: Cross multiply
    31,124x = 47,838 × 47,838
  4. Step 4: Simplify right side
    31,124x = 2,288,474,244
  5. Step 5: Solve for x
    x = 2,288,474,244/31,124
  6. Step 6: Final answer
    x = 73,527.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.