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Finding the Third Proportional to 8,442 and 13,105

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Solution

The third proportional to 8,442 and 13,105 is: 20,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,442 : 13,105 = 13,105 : x
  2. Step 2: Convert to fraction form
    8,442/13,105 = 13,105/x
  3. Step 3: Cross multiply
    8,442x = 13,105 × 13,105
  4. Step 4: Simplify right side
    8,442x = 171,741,025
  5. Step 5: Solve for x
    x = 171,741,025/8,442
  6. Step 6: Final answer
    x = 20,343.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.