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Finding the Third Proportional to 4,493.94 and 6,803.56

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Solution

The third proportional to 4,493.94 and 6,803.56 is: 10,300.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.94 : 6,803.56 = 6,803.56 : x
  2. Step 2: Convert to fraction form
    4,493.94/6,803.56 = 6,803.56/x
  3. Step 3: Cross multiply
    4,493.94x = 6,803.56 × 6,803.56
  4. Step 4: Simplify right side
    4,493.94x = 46,288,462.69
  5. Step 5: Solve for x
    x = 46,288,462.69/4,493.94
  6. Step 6: Final answer
    x = 10,300.20

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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.