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Finding the Third Proportional to 3,357.56 and 6,809.06

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Solution

The third proportional to 3,357.56 and 6,809.06 is: 13,808.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,357.56 : 6,809.06 = 6,809.06 : x
  2. Step 2: Convert to fraction form
    3,357.56/6,809.06 = 6,809.06/x
  3. Step 3: Cross multiply
    3,357.56x = 6,809.06 × 6,809.06
  4. Step 4: Simplify right side
    3,357.56x = 46,363,332.13
  5. Step 5: Solve for x
    x = 46,363,332.13/3,357.56
  6. Step 6: Final answer
    x = 13,808.63

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.