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Finding the Third Proportional to 9,255.56 and 13,226.25

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Solution

The third proportional to 9,255.56 and 13,226.25 is: 18,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.56 : 13,226.25 = 13,226.25 : x
  2. Step 2: Convert to fraction form
    9,255.56/13,226.25 = 13,226.25/x
  3. Step 3: Cross multiply
    9,255.56x = 13,226.25 × 13,226.25
  4. Step 4: Simplify right side
    9,255.56x = 174,933,689.06
  5. Step 5: Solve for x
    x = 174,933,689.06/9,255.56
  6. Step 6: Final answer
    x = 18,900.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.