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Finding the Third Proportional to 3,958.75 and 8,470.75

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Solution

The third proportional to 3,958.75 and 8,470.75 is: 18,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.75 : 8,470.75 = 8,470.75 : x
  2. Step 2: Convert to fraction form
    3,958.75/8,470.75 = 8,470.75/x
  3. Step 3: Cross multiply
    3,958.75x = 8,470.75 × 8,470.75
  4. Step 4: Simplify right side
    3,958.75x = 71,753,605.56
  5. Step 5: Solve for x
    x = 71,753,605.56/3,958.75
  6. Step 6: Final answer
    x = 18,125.32

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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.