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Finding the Third Proportional to 3,082.50 and 4,758.75

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Solution

The third proportional to 3,082.50 and 4,758.75 is: 7,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.50 : 4,758.75 = 4,758.75 : x
  2. Step 2: Convert to fraction form
    3,082.50/4,758.75 = 4,758.75/x
  3. Step 3: Cross multiply
    3,082.50x = 4,758.75 × 4,758.75
  4. Step 4: Simplify right side
    3,082.50x = 22,645,701.56
  5. Step 5: Solve for x
    x = 22,645,701.56/3,082.50
  6. Step 6: Final answer
    x = 7,346.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.