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Finding the Third Proportional to 5,835.80 and 8,751.80

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Solution

The third proportional to 5,835.80 and 8,751.80 is: 13,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.80 : 8,751.80 = 8,751.80 : x
  2. Step 2: Convert to fraction form
    5,835.80/8,751.80 = 8,751.80/x
  3. Step 3: Cross multiply
    5,835.80x = 8,751.80 × 8,751.80
  4. Step 4: Simplify right side
    5,835.80x = 76,593,948.54
  5. Step 5: Solve for x
    x = 76,593,948.54/5,835.80
  6. Step 6: Final answer
    x = 13,124.85

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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.