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Finding the Third Proportional to 8,213.06 and 13,154.06

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Solution

The third proportional to 8,213.06 and 13,154.06 is: 21,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.06 : 13,154.06 = 13,154.06 : x
  2. Step 2: Convert to fraction form
    8,213.06/13,154.06 = 13,154.06/x
  3. Step 3: Cross multiply
    8,213.06x = 13,154.06 × 13,154.06
  4. Step 4: Simplify right side
    8,213.06x = 173,029,360.25
  5. Step 5: Solve for x
    x = 173,029,360.25/8,213.06
  6. Step 6: Final answer
    x = 21,067.58

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.