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Finding the Third Proportional to 3,592.69 and 5,249.53

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Solution

The third proportional to 3,592.69 and 5,249.53 is: 7,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,592.69 : 5,249.53 = 5,249.53 : x
  2. Step 2: Convert to fraction form
    3,592.69/5,249.53 = 5,249.53/x
  3. Step 3: Cross multiply
    3,592.69x = 5,249.53 × 5,249.53
  4. Step 4: Simplify right side
    3,592.69x = 27,557,578.34
  5. Step 5: Solve for x
    x = 27,557,578.34/3,592.69
  6. Step 6: Final answer
    x = 7,670.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.