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Finding the Third Proportional to 6,579.28 and 9,523.41

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Solution

The third proportional to 6,579.28 and 9,523.41 is: 13,784.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.28 : 9,523.41 = 9,523.41 : x
  2. Step 2: Convert to fraction form
    6,579.28/9,523.41 = 9,523.41/x
  3. Step 3: Cross multiply
    6,579.28x = 9,523.41 × 9,523.41
  4. Step 4: Simplify right side
    6,579.28x = 90,695,266.60
  5. Step 5: Solve for x
    x = 90,695,266.60/6,579.28
  6. Step 6: Final answer
    x = 13,784.98

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.