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Finding the Third Proportional to 8,226.56 and 9,360.56

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Solution

The third proportional to 8,226.56 and 9,360.56 is: 10,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 9,360.56 = 9,360.56 : x
  2. Step 2: Convert to fraction form
    8,226.56/9,360.56 = 9,360.56/x
  3. Step 3: Cross multiply
    8,226.56x = 9,360.56 × 9,360.56
  4. Step 4: Simplify right side
    8,226.56x = 87,620,130.32
  5. Step 5: Solve for x
    x = 87,620,130.32/8,226.56
  6. Step 6: Final answer
    x = 10,650.88

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.