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Finding the Third Proportional to 3,606.19 and 8,344.69

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Solution

The third proportional to 3,606.19 and 8,344.69 is: 19,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.19 : 8,344.69 = 8,344.69 : x
  2. Step 2: Convert to fraction form
    3,606.19/8,344.69 = 8,344.69/x
  3. Step 3: Cross multiply
    3,606.19x = 8,344.69 × 8,344.69
  4. Step 4: Simplify right side
    3,606.19x = 69,633,809.47
  5. Step 5: Solve for x
    x = 69,633,809.47/3,606.19
  6. Step 6: Final answer
    x = 19,309.54

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.