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Finding the Third Proportional to 2,057.19 and 3,313.06

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Solution

The third proportional to 2,057.19 and 3,313.06 is: 5,335.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.19 : 3,313.06 = 3,313.06 : x
  2. Step 2: Convert to fraction form
    2,057.19/3,313.06 = 3,313.06/x
  3. Step 3: Cross multiply
    2,057.19x = 3,313.06 × 3,313.06
  4. Step 4: Simplify right side
    2,057.19x = 10,976,383.13
  5. Step 5: Solve for x
    x = 10,976,383.13/2,057.19
  6. Step 6: Final answer
    x = 5,335.63

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.