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Finding the Third Proportional to 6,080.06 and 7,662.09

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Solution

The third proportional to 6,080.06 and 7,662.09 is: 9,655.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.06 : 7,662.09 = 7,662.09 : x
  2. Step 2: Convert to fraction form
    6,080.06/7,662.09 = 7,662.09/x
  3. Step 3: Cross multiply
    6,080.06x = 7,662.09 × 7,662.09
  4. Step 4: Simplify right side
    6,080.06x = 58,707,680.63
  5. Step 5: Solve for x
    x = 58,707,680.63/6,080.06
  6. Step 6: Final answer
    x = 9,655.77

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.