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Finding the Third Proportional to 6,353.44 and 8,634.09

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Solution

The third proportional to 6,353.44 and 8,634.09 is: 11,733.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.44 : 8,634.09 = 8,634.09 : x
  2. Step 2: Convert to fraction form
    6,353.44/8,634.09 = 8,634.09/x
  3. Step 3: Cross multiply
    6,353.44x = 8,634.09 × 8,634.09
  4. Step 4: Simplify right side
    6,353.44x = 74,547,574.88
  5. Step 5: Solve for x
    x = 74,547,574.88/6,353.44
  6. Step 6: Final answer
    x = 11,733.42

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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.