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Finding the Third Proportional to 6,523.88 and 9,579.94

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Solution

The third proportional to 6,523.88 and 9,579.94 is: 14,067.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.88 : 9,579.94 = 9,579.94 : x
  2. Step 2: Convert to fraction form
    6,523.88/9,579.94 = 9,579.94/x
  3. Step 3: Cross multiply
    6,523.88x = 9,579.94 × 9,579.94
  4. Step 4: Simplify right side
    6,523.88x = 91,775,202.50
  5. Step 5: Solve for x
    x = 91,775,202.50/6,523.88
  6. Step 6: Final answer
    x = 14,067.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.