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Finding the Third Proportional to 3,313.13 and 6,207.19

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Solution

The third proportional to 3,313.13 and 6,207.19 is: 11,629.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.13 : 6,207.19 = 6,207.19 : x
  2. Step 2: Convert to fraction form
    3,313.13/6,207.19 = 6,207.19/x
  3. Step 3: Cross multiply
    3,313.13x = 6,207.19 × 6,207.19
  4. Step 4: Simplify right side
    3,313.13x = 38,529,176.66
  5. Step 5: Solve for x
    x = 38,529,176.66/3,313.13
  6. Step 6: Final answer
    x = 11,629.26

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.