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Finding the Third Proportional to 3,594.38 and 5,507.37

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Solution

The third proportional to 3,594.38 and 5,507.37 is: 8,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.38 : 5,507.37 = 5,507.37 : x
  2. Step 2: Convert to fraction form
    3,594.38/5,507.37 = 5,507.37/x
  3. Step 3: Cross multiply
    3,594.38x = 5,507.37 × 5,507.37
  4. Step 4: Simplify right side
    3,594.38x = 30,331,093.34
  5. Step 5: Solve for x
    x = 30,331,093.34/3,594.38
  6. Step 6: Final answer
    x = 8,438.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.