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Finding the Third Proportional to 5,286.75 and 7,282.13

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Solution

The third proportional to 5,286.75 and 7,282.13 is: 10,030.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.75 : 7,282.13 = 7,282.13 : x
  2. Step 2: Convert to fraction form
    5,286.75/7,282.13 = 7,282.13/x
  3. Step 3: Cross multiply
    5,286.75x = 7,282.13 × 7,282.13
  4. Step 4: Simplify right side
    5,286.75x = 53,029,344.52
  5. Step 5: Solve for x
    x = 53,029,344.52/5,286.75
  6. Step 6: Final answer
    x = 10,030.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.