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Finding the Third Proportional to 3,003.75 and 6,410.81

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Solution

The third proportional to 3,003.75 and 6,410.81 is: 13,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.75 : 6,410.81 = 6,410.81 : x
  2. Step 2: Convert to fraction form
    3,003.75/6,410.81 = 6,410.81/x
  3. Step 3: Cross multiply
    3,003.75x = 6,410.81 × 6,410.81
  4. Step 4: Simplify right side
    3,003.75x = 41,098,516.91
  5. Step 5: Solve for x
    x = 41,098,516.91/3,003.75
  6. Step 6: Final answer
    x = 13,682.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.