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Finding the Third Proportional to 4,304.25 and 6,456.38

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Solution

The third proportional to 4,304.25 and 6,456.38 is: 9,684.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.25 : 6,456.38 = 6,456.38 : x
  2. Step 2: Convert to fraction form
    4,304.25/6,456.38 = 6,456.38/x
  3. Step 3: Cross multiply
    4,304.25x = 6,456.38 × 6,456.38
  4. Step 4: Simplify right side
    4,304.25x = 41,684,778.14
  5. Step 5: Solve for x
    x = 41,684,778.14/4,304.25
  6. Step 6: Final answer
    x = 9,684.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.