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Finding the Third Proportional to 3,950.39 and 8,463.05

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Solution

The third proportional to 3,950.39 and 8,463.05 is: 18,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.39 : 8,463.05 = 8,463.05 : x
  2. Step 2: Convert to fraction form
    3,950.39/8,463.05 = 8,463.05/x
  3. Step 3: Cross multiply
    3,950.39x = 8,463.05 × 8,463.05
  4. Step 4: Simplify right side
    3,950.39x = 71,623,162.41
  5. Step 5: Solve for x
    x = 71,623,162.41/3,950.39
  6. Step 6: Final answer
    x = 18,130.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.