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Finding the Third Proportional to 6,171.19 and 8,019.84

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Solution

The third proportional to 6,171.19 and 8,019.84 is: 10,422.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.19 : 8,019.84 = 8,019.84 : x
  2. Step 2: Convert to fraction form
    6,171.19/8,019.84 = 8,019.84/x
  3. Step 3: Cross multiply
    6,171.19x = 8,019.84 × 8,019.84
  4. Step 4: Simplify right side
    6,171.19x = 64,317,893.77
  5. Step 5: Solve for x
    x = 64,317,893.77/6,171.19
  6. Step 6: Final answer
    x = 10,422.29

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.