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Finding the Third Proportional to 4,102.69 and 6,364.69

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Solution

The third proportional to 4,102.69 and 6,364.69 is: 9,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.69 : 6,364.69 = 6,364.69 : x
  2. Step 2: Convert to fraction form
    4,102.69/6,364.69 = 6,364.69/x
  3. Step 3: Cross multiply
    4,102.69x = 6,364.69 × 6,364.69
  4. Step 4: Simplify right side
    4,102.69x = 40,509,246.97
  5. Step 5: Solve for x
    x = 40,509,246.97/4,102.69
  6. Step 6: Final answer
    x = 9,873.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.