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Finding the Third Proportional to 4,029.43 and 5,441.87

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Solution

The third proportional to 4,029.43 and 5,441.87 is: 7,349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,029.43 : 5,441.87 = 5,441.87 : x
  2. Step 2: Convert to fraction form
    4,029.43/5,441.87 = 5,441.87/x
  3. Step 3: Cross multiply
    4,029.43x = 5,441.87 × 5,441.87
  4. Step 4: Simplify right side
    4,029.43x = 29,613,961.00
  5. Step 5: Solve for x
    x = 29,613,961.00/4,029.43
  6. Step 6: Final answer
    x = 7,349.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.