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Finding the Third Proportional to 5,960.20 and 8,757.84

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Solution

The third proportional to 5,960.20 and 8,757.84 is: 12,868.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,960.20 : 8,757.84 = 8,757.84 : x
  2. Step 2: Convert to fraction form
    5,960.20/8,757.84 = 8,757.84/x
  3. Step 3: Cross multiply
    5,960.20x = 8,757.84 × 8,757.84
  4. Step 4: Simplify right side
    5,960.20x = 76,699,827.15
  5. Step 5: Solve for x
    x = 76,699,827.15/5,960.20
  6. Step 6: Final answer
    x = 12,868.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.