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Finding the Third Proportional to 49,458 and 75,825

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Solution

The third proportional to 49,458 and 75,825 is: 116,248.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,458 : 75,825 = 75,825 : x
  2. Step 2: Convert to fraction form
    49,458/75,825 = 75,825/x
  3. Step 3: Cross multiply
    49,458x = 75,825 × 75,825
  4. Step 4: Simplify right side
    49,458x = 5,749,430,625
  5. Step 5: Solve for x
    x = 5,749,430,625/49,458
  6. Step 6: Final answer
    x = 116,248.75

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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.