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Finding the Third Proportional to 8,042 and 12,295

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Solution

The third proportional to 8,042 and 12,295 is: 18,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042 : 12,295 = 12,295 : x
  2. Step 2: Convert to fraction form
    8,042/12,295 = 12,295/x
  3. Step 3: Cross multiply
    8,042x = 12,295 × 12,295
  4. Step 4: Simplify right side
    8,042x = 151,167,025
  5. Step 5: Solve for x
    x = 151,167,025/8,042
  6. Step 6: Final answer
    x = 18,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.