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Finding the Third Proportional to 8,005.08 and 17,489.67

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Solution

The third proportional to 8,005.08 and 17,489.67 is: 38,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.08 : 17,489.67 = 17,489.67 : x
  2. Step 2: Convert to fraction form
    8,005.08/17,489.67 = 17,489.67/x
  3. Step 3: Cross multiply
    8,005.08x = 17,489.67 × 17,489.67
  4. Step 4: Simplify right side
    8,005.08x = 305,888,622.30
  5. Step 5: Solve for x
    x = 305,888,622.30/8,005.08
  6. Step 6: Final answer
    x = 38,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.