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Finding the Third Proportional to 3,507.05 and 5,407.17

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Solution

The third proportional to 3,507.05 and 5,407.17 is: 8,336.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.05 : 5,407.17 = 5,407.17 : x
  2. Step 2: Convert to fraction form
    3,507.05/5,407.17 = 5,407.17/x
  3. Step 3: Cross multiply
    3,507.05x = 5,407.17 × 5,407.17
  4. Step 4: Simplify right side
    3,507.05x = 29,237,507.69
  5. Step 5: Solve for x
    x = 29,237,507.69/3,507.05
  6. Step 6: Final answer
    x = 8,336.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.