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Finding the Third Proportional to 4,470.82 and 6,840.07

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Solution

The third proportional to 4,470.82 and 6,840.07 is: 10,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.82 : 6,840.07 = 6,840.07 : x
  2. Step 2: Convert to fraction form
    4,470.82/6,840.07 = 6,840.07/x
  3. Step 3: Cross multiply
    4,470.82x = 6,840.07 × 6,840.07
  4. Step 4: Simplify right side
    4,470.82x = 46,786,561.88
  5. Step 5: Solve for x
    x = 46,786,561.88/4,470.82
  6. Step 6: Final answer
    x = 10,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.