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Finding the Third Proportional to 5,226.19 and 8,191.69

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Solution

The third proportional to 5,226.19 and 8,191.69 is: 12,839.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.19 : 8,191.69 = 8,191.69 : x
  2. Step 2: Convert to fraction form
    5,226.19/8,191.69 = 8,191.69/x
  3. Step 3: Cross multiply
    5,226.19x = 8,191.69 × 8,191.69
  4. Step 4: Simplify right side
    5,226.19x = 67,103,744.10
  5. Step 5: Solve for x
    x = 67,103,744.10/5,226.19
  6. Step 6: Final answer
    x = 12,839.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.