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Finding the Third Proportional to 4,359.66 and 5,672.53

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Solution

The third proportional to 4,359.66 and 5,672.53 is: 7,380.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.66 : 5,672.53 = 5,672.53 : x
  2. Step 2: Convert to fraction form
    4,359.66/5,672.53 = 5,672.53/x
  3. Step 3: Cross multiply
    4,359.66x = 5,672.53 × 5,672.53
  4. Step 4: Simplify right side
    4,359.66x = 32,177,610.78
  5. Step 5: Solve for x
    x = 32,177,610.78/4,359.66
  6. Step 6: Final answer
    x = 7,380.77

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.