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Finding the Third Proportional to 5,817 and 8,245.50

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Solution

The third proportional to 5,817 and 8,245.50 is: 11,687.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817 : 8,245.50 = 8,245.50 : x
  2. Step 2: Convert to fraction form
    5,817/8,245.50 = 8,245.50/x
  3. Step 3: Cross multiply
    5,817x = 8,245.50 × 8,245.50
  4. Step 4: Simplify right side
    5,817x = 67,988,270.25
  5. Step 5: Solve for x
    x = 67,988,270.25/5,817
  6. Step 6: Final answer
    x = 11,687.86

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.