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Finding the Third Proportional to 4,230.56 and 5,753.53

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Solution

The third proportional to 4,230.56 and 5,753.53 is: 7,824.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,230.56 : 5,753.53 = 5,753.53 : x
  2. Step 2: Convert to fraction form
    4,230.56/5,753.53 = 5,753.53/x
  3. Step 3: Cross multiply
    4,230.56x = 5,753.53 × 5,753.53
  4. Step 4: Simplify right side
    4,230.56x = 33,103,121.84
  5. Step 5: Solve for x
    x = 33,103,121.84/4,230.56
  6. Step 6: Final answer
    x = 7,824.76

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.