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Finding the Third Proportional to 5,226.75 and 7,551.56

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Solution

The third proportional to 5,226.75 and 7,551.56 is: 10,910.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.75 : 7,551.56 = 7,551.56 : x
  2. Step 2: Convert to fraction form
    5,226.75/7,551.56 = 7,551.56/x
  3. Step 3: Cross multiply
    5,226.75x = 7,551.56 × 7,551.56
  4. Step 4: Simplify right side
    5,226.75x = 57,026,096.19
  5. Step 5: Solve for x
    x = 57,026,096.19/5,226.75
  6. Step 6: Final answer
    x = 10,910.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.