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Finding the Third Proportional to 3,838.22 and 8,267.91

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Solution

The third proportional to 3,838.22 and 8,267.91 is: 17,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.22 : 8,267.91 = 8,267.91 : x
  2. Step 2: Convert to fraction form
    3,838.22/8,267.91 = 8,267.91/x
  3. Step 3: Cross multiply
    3,838.22x = 8,267.91 × 8,267.91
  4. Step 4: Simplify right side
    3,838.22x = 68,358,273.76
  5. Step 5: Solve for x
    x = 68,358,273.76/3,838.22
  6. Step 6: Final answer
    x = 17,809.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.