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Finding the Third Proportional to 3,334.50 and 4,980.75

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Solution

The third proportional to 3,334.50 and 4,980.75 is: 7,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.50 : 4,980.75 = 4,980.75 : x
  2. Step 2: Convert to fraction form
    3,334.50/4,980.75 = 4,980.75/x
  3. Step 3: Cross multiply
    3,334.50x = 4,980.75 × 4,980.75
  4. Step 4: Simplify right side
    3,334.50x = 24,807,870.56
  5. Step 5: Solve for x
    x = 24,807,870.56/3,334.50
  6. Step 6: Final answer
    x = 7,439.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.