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Finding the Third Proportional to 47,917.50 and 75,825

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Solution

The third proportional to 47,917.50 and 75,825 is: 119,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,917.50 : 75,825 = 75,825 : x
  2. Step 2: Convert to fraction form
    47,917.50/75,825 = 75,825/x
  3. Step 3: Cross multiply
    47,917.50x = 75,825 × 75,825
  4. Step 4: Simplify right side
    47,917.50x = 5,749,430,625
  5. Step 5: Solve for x
    x = 5,749,430,625/47,917.50
  6. Step 6: Final answer
    x = 119,986.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.