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Finding the Third Proportional to 4,482.38 and 6,912.56

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Solution

The third proportional to 4,482.38 and 6,912.56 is: 10,660.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,482.38 : 6,912.56 = 6,912.56 : x
  2. Step 2: Convert to fraction form
    4,482.38/6,912.56 = 6,912.56/x
  3. Step 3: Cross multiply
    4,482.38x = 6,912.56 × 6,912.56
  4. Step 4: Simplify right side
    4,482.38x = 47,783,520.32
  5. Step 5: Solve for x
    x = 47,783,520.32/4,482.38
  6. Step 6: Final answer
    x = 10,660.31

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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.