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Finding the Third Proportional to 8,214.06 and 11,622.71

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Solution

The third proportional to 8,214.06 and 11,622.71 is: 16,445.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.06 : 11,622.71 = 11,622.71 : x
  2. Step 2: Convert to fraction form
    8,214.06/11,622.71 = 11,622.71/x
  3. Step 3: Cross multiply
    8,214.06x = 11,622.71 × 11,622.71
  4. Step 4: Simplify right side
    8,214.06x = 135,087,364.14
  5. Step 5: Solve for x
    x = 135,087,364.14/8,214.06
  6. Step 6: Final answer
    x = 16,445.86

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.