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Finding the Third Proportional to 5,472.56 and 6,363.56

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Solution

The third proportional to 5,472.56 and 6,363.56 is: 7,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.56 : 6,363.56 = 6,363.56 : x
  2. Step 2: Convert to fraction form
    5,472.56/6,363.56 = 6,363.56/x
  3. Step 3: Cross multiply
    5,472.56x = 6,363.56 × 6,363.56
  4. Step 4: Simplify right side
    5,472.56x = 40,494,927.69
  5. Step 5: Solve for x
    x = 40,494,927.69/5,472.56
  6. Step 6: Final answer
    x = 7,399.63

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.