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Finding the Third Proportional to 6,189.75 and 8,410.08

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Solution

The third proportional to 6,189.75 and 8,410.08 is: 11,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.75 : 8,410.08 = 8,410.08 : x
  2. Step 2: Convert to fraction form
    6,189.75/8,410.08 = 8,410.08/x
  3. Step 3: Cross multiply
    6,189.75x = 8,410.08 × 8,410.08
  4. Step 4: Simplify right side
    6,189.75x = 70,729,414.07
  5. Step 5: Solve for x
    x = 70,729,414.07/6,189.75
  6. Step 6: Final answer
    x = 11,426.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.