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Finding the Third Proportional to 3,709.50 and 5,454.75

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Solution

The third proportional to 3,709.50 and 5,454.75 is: 8,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.50 : 5,454.75 = 5,454.75 : x
  2. Step 2: Convert to fraction form
    3,709.50/5,454.75 = 5,454.75/x
  3. Step 3: Cross multiply
    3,709.50x = 5,454.75 × 5,454.75
  4. Step 4: Simplify right side
    3,709.50x = 29,754,297.56
  5. Step 5: Solve for x
    x = 29,754,297.56/3,709.50
  6. Step 6: Final answer
    x = 8,021.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.