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Finding the Third Proportional to 3,529.75 and 5,300.75

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Solution

The third proportional to 3,529.75 and 5,300.75 is: 7,960.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.75 : 5,300.75 = 5,300.75 : x
  2. Step 2: Convert to fraction form
    3,529.75/5,300.75 = 5,300.75/x
  3. Step 3: Cross multiply
    3,529.75x = 5,300.75 × 5,300.75
  4. Step 4: Simplify right side
    3,529.75x = 28,097,950.56
  5. Step 5: Solve for x
    x = 28,097,950.56/3,529.75
  6. Step 6: Final answer
    x = 7,960.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.