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Finding the Third Proportional to 4,500.56 and 5,715.56

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Solution

The third proportional to 4,500.56 and 5,715.56 is: 7,258.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.56 : 5,715.56 = 5,715.56 : x
  2. Step 2: Convert to fraction form
    4,500.56/5,715.56 = 5,715.56/x
  3. Step 3: Cross multiply
    4,500.56x = 5,715.56 × 5,715.56
  4. Step 4: Simplify right side
    4,500.56x = 32,667,654.69
  5. Step 5: Solve for x
    x = 32,667,654.69/4,500.56
  6. Step 6: Final answer
    x = 7,258.57

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.