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Finding the Third Proportional to 4,180.72 and 5,732.87

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Solution

The third proportional to 4,180.72 and 5,732.87 is: 7,861.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.72 : 5,732.87 = 5,732.87 : x
  2. Step 2: Convert to fraction form
    4,180.72/5,732.87 = 5,732.87/x
  3. Step 3: Cross multiply
    4,180.72x = 5,732.87 × 5,732.87
  4. Step 4: Simplify right side
    4,180.72x = 32,865,752.19
  5. Step 5: Solve for x
    x = 32,865,752.19/4,180.72
  6. Step 6: Final answer
    x = 7,861.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.