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Finding the Third Proportional to 34,800 and 52,050

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Solution

The third proportional to 34,800 and 52,050 is: 77,850.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,800 : 52,050 = 52,050 : x
  2. Step 2: Convert to fraction form
    34,800/52,050 = 52,050/x
  3. Step 3: Cross multiply
    34,800x = 52,050 × 52,050
  4. Step 4: Simplify right side
    34,800x = 2,709,202,500
  5. Step 5: Solve for x
    x = 2,709,202,500/34,800
  6. Step 6: Final answer
    x = 77,850.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.