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Finding the Third Proportional to 5,078.25 and 7,239.38

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Solution

The third proportional to 5,078.25 and 7,239.38 is: 10,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.25 : 7,239.38 = 7,239.38 : x
  2. Step 2: Convert to fraction form
    5,078.25/7,239.38 = 7,239.38/x
  3. Step 3: Cross multiply
    5,078.25x = 7,239.38 × 7,239.38
  4. Step 4: Simplify right side
    5,078.25x = 52,408,550.39
  5. Step 5: Solve for x
    x = 52,408,550.39/5,078.25
  6. Step 6: Final answer
    x = 10,320.20

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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.