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Finding the Third Proportional to 4,311.56 and 5,769.56

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Solution

The third proportional to 4,311.56 and 5,769.56 is: 7,720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,311.56 : 5,769.56 = 5,769.56 : x
  2. Step 2: Convert to fraction form
    4,311.56/5,769.56 = 5,769.56/x
  3. Step 3: Cross multiply
    4,311.56x = 5,769.56 × 5,769.56
  4. Step 4: Simplify right side
    4,311.56x = 33,287,851.44
  5. Step 5: Solve for x
    x = 33,287,851.44/4,311.56
  6. Step 6: Final answer
    x = 7,720.60

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.