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Finding the Third Proportional to 9,327.38 and 19,202.06

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Solution

The third proportional to 9,327.38 and 19,202.06 is: 39,530.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.38 : 19,202.06 = 19,202.06 : x
  2. Step 2: Convert to fraction form
    9,327.38/19,202.06 = 19,202.06/x
  3. Step 3: Cross multiply
    9,327.38x = 19,202.06 × 19,202.06
  4. Step 4: Simplify right side
    9,327.38x = 368,719,204.25
  5. Step 5: Solve for x
    x = 368,719,204.25/9,327.38
  6. Step 6: Final answer
    x = 39,530.87

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.