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Finding the Third Proportional to 7,509.38 and 17,383.78

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Solution

The third proportional to 7,509.38 and 17,383.78 is: 40,242.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509.38 : 17,383.78 = 17,383.78 : x
  2. Step 2: Convert to fraction form
    7,509.38/17,383.78 = 17,383.78/x
  3. Step 3: Cross multiply
    7,509.38x = 17,383.78 × 17,383.78
  4. Step 4: Simplify right side
    7,509.38x = 302,195,850.55
  5. Step 5: Solve for x
    x = 302,195,850.55/7,509.38
  6. Step 6: Final answer
    x = 40,242.48

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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.