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Finding the Third Proportional to 7,524.56 and 8,334.56

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Solution

The third proportional to 7,524.56 and 8,334.56 is: 9,231.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524.56 : 8,334.56 = 8,334.56 : x
  2. Step 2: Convert to fraction form
    7,524.56/8,334.56 = 8,334.56/x
  3. Step 3: Cross multiply
    7,524.56x = 8,334.56 × 8,334.56
  4. Step 4: Simplify right side
    7,524.56x = 69,464,932.07
  5. Step 5: Solve for x
    x = 69,464,932.07/7,524.56
  6. Step 6: Final answer
    x = 9,231.76

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.