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Finding the Third Proportional to 4,600.50 and 6,900.75

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Solution

The third proportional to 4,600.50 and 6,900.75 is: 10,351.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.50 : 6,900.75 = 6,900.75 : x
  2. Step 2: Convert to fraction form
    4,600.50/6,900.75 = 6,900.75/x
  3. Step 3: Cross multiply
    4,600.50x = 6,900.75 × 6,900.75
  4. Step 4: Simplify right side
    4,600.50x = 47,620,350.56
  5. Step 5: Solve for x
    x = 47,620,350.56/4,600.50
  6. Step 6: Final answer
    x = 10,351.13

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1.5x scale

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.