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Finding the Third Proportional to 3,741.38 and 5,579.63

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Solution

The third proportional to 3,741.38 and 5,579.63 is: 8,321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.38 : 5,579.63 = 5,579.63 : x
  2. Step 2: Convert to fraction form
    3,741.38/5,579.63 = 5,579.63/x
  3. Step 3: Cross multiply
    3,741.38x = 5,579.63 × 5,579.63
  4. Step 4: Simplify right side
    3,741.38x = 31,132,215.14
  5. Step 5: Solve for x
    x = 31,132,215.14/3,741.38
  6. Step 6: Final answer
    x = 8,321.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.