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Finding the Third Proportional to 6,107.06 and 8,148.09

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Solution

The third proportional to 6,107.06 and 8,148.09 is: 10,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.06 : 8,148.09 = 8,148.09 : x
  2. Step 2: Convert to fraction form
    6,107.06/8,148.09 = 8,148.09/x
  3. Step 3: Cross multiply
    6,107.06x = 8,148.09 × 8,148.09
  4. Step 4: Simplify right side
    6,107.06x = 66,391,431.76
  5. Step 5: Solve for x
    x = 66,391,431.76/6,107.06
  6. Step 6: Final answer
    x = 10,871.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.