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Finding the Third Proportional to 3,463.88 and 6,192.84

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Solution

The third proportional to 3,463.88 and 6,192.84 is: 11,071.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.88 : 6,192.84 = 6,192.84 : x
  2. Step 2: Convert to fraction form
    3,463.88/6,192.84 = 6,192.84/x
  3. Step 3: Cross multiply
    3,463.88x = 6,192.84 × 6,192.84
  4. Step 4: Simplify right side
    3,463.88x = 38,351,313.71
  5. Step 5: Solve for x
    x = 38,351,313.71/3,463.88
  6. Step 6: Final answer
    x = 11,071.79

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.