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Finding the Third Proportional to 5,297.91 and 7,365.94

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Solution

The third proportional to 5,297.91 and 7,365.94 is: 10,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.91 : 7,365.94 = 7,365.94 : x
  2. Step 2: Convert to fraction form
    5,297.91/7,365.94 = 7,365.94/x
  3. Step 3: Cross multiply
    5,297.91x = 7,365.94 × 7,365.94
  4. Step 4: Simplify right side
    5,297.91x = 54,257,035.25
  5. Step 5: Solve for x
    x = 54,257,035.25/5,297.91
  6. Step 6: Final answer
    x = 10,241.22

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.