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Finding the Third Proportional to 4,275.84 and 6,396.47

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Solution

The third proportional to 4,275.84 and 6,396.47 is: 9,568.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.84 : 6,396.47 = 6,396.47 : x
  2. Step 2: Convert to fraction form
    4,275.84/6,396.47 = 6,396.47/x
  3. Step 3: Cross multiply
    4,275.84x = 6,396.47 × 6,396.47
  4. Step 4: Simplify right side
    4,275.84x = 40,914,812.47
  5. Step 5: Solve for x
    x = 40,914,812.47/4,275.84
  6. Step 6: Final answer
    x = 9,568.83

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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.