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Finding the Third Proportional to 8,334.56 and 9,225.56

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Solution

The third proportional to 8,334.56 and 9,225.56 is: 10,211.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,334.56 : 9,225.56 = 9,225.56 : x
  2. Step 2: Convert to fraction form
    8,334.56/9,225.56 = 9,225.56/x
  3. Step 3: Cross multiply
    8,334.56x = 9,225.56 × 9,225.56
  4. Step 4: Simplify right side
    8,334.56x = 85,111,003.44
  5. Step 5: Solve for x
    x = 85,111,003.44/8,334.56
  6. Step 6: Final answer
    x = 10,211.81

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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.