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Finding the Third Proportional to 3,684.38 and 7,581.38

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Solution

The third proportional to 3,684.38 and 7,581.38 is: 15,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.38 : 7,581.38 = 7,581.38 : x
  2. Step 2: Convert to fraction form
    3,684.38/7,581.38 = 7,581.38/x
  3. Step 3: Cross multiply
    3,684.38x = 7,581.38 × 7,581.38
  4. Step 4: Simplify right side
    3,684.38x = 57,477,246.89
  5. Step 5: Solve for x
    x = 57,477,246.89/3,684.38
  6. Step 6: Final answer
    x = 15,600.27

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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.