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Finding the Third Proportional to 31,014 and 39,825

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Solution

The third proportional to 31,014 and 39,825 is: 51,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,014 : 39,825 = 39,825 : x
  2. Step 2: Convert to fraction form
    31,014/39,825 = 39,825/x
  3. Step 3: Cross multiply
    31,014x = 39,825 × 39,825
  4. Step 4: Simplify right side
    31,014x = 1,586,030,625
  5. Step 5: Solve for x
    x = 1,586,030,625/31,014
  6. Step 6: Final answer
    x = 51,139.18

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.