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Finding the Third Proportional to 4,500.56 and 7,120.69

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Solution

The third proportional to 4,500.56 and 7,120.69 is: 11,266.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.56 : 7,120.69 = 7,120.69 : x
  2. Step 2: Convert to fraction form
    4,500.56/7,120.69 = 7,120.69/x
  3. Step 3: Cross multiply
    4,500.56x = 7,120.69 × 7,120.69
  4. Step 4: Simplify right side
    4,500.56x = 50,704,190.47
  5. Step 5: Solve for x
    x = 50,704,190.47/4,500.56
  6. Step 6: Final answer
    x = 11,266.19

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.