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Finding the Third Proportional to 9,579.60 and 13,190.88

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Solution

The third proportional to 9,579.60 and 13,190.88 is: 18,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,579.60 : 13,190.88 = 13,190.88 : x
  2. Step 2: Convert to fraction form
    9,579.60/13,190.88 = 13,190.88/x
  3. Step 3: Cross multiply
    9,579.60x = 13,190.88 × 13,190.88
  4. Step 4: Simplify right side
    9,579.60x = 173,999,254.12
  5. Step 5: Solve for x
    x = 173,999,254.12/9,579.60
  6. Step 6: Final answer
    x = 18,163.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.