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Finding the Third Proportional to 4,764.94 and 7,182.56

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Solution

The third proportional to 4,764.94 and 7,182.56 is: 10,826.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.94 : 7,182.56 = 7,182.56 : x
  2. Step 2: Convert to fraction form
    4,764.94/7,182.56 = 7,182.56/x
  3. Step 3: Cross multiply
    4,764.94x = 7,182.56 × 7,182.56
  4. Step 4: Simplify right side
    4,764.94x = 51,589,204.07
  5. Step 5: Solve for x
    x = 51,589,204.07/4,764.94
  6. Step 6: Final answer
    x = 10,826.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.