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Finding the Third Proportional to 5,168.25 and 7,382.25

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Solution

The third proportional to 5,168.25 and 7,382.25 is: 10,544.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,168.25 : 7,382.25 = 7,382.25 : x
  2. Step 2: Convert to fraction form
    5,168.25/7,382.25 = 7,382.25/x
  3. Step 3: Cross multiply
    5,168.25x = 7,382.25 × 7,382.25
  4. Step 4: Simplify right side
    5,168.25x = 54,497,615.06
  5. Step 5: Solve for x
    x = 54,497,615.06/5,168.25
  6. Step 6: Final answer
    x = 10,544.69

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.