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Finding the Third Proportional to 8,012 and 10,426

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Solution

The third proportional to 8,012 and 10,426 is: 13,567.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,012 : 10,426 = 10,426 : x
  2. Step 2: Convert to fraction form
    8,012/10,426 = 10,426/x
  3. Step 3: Cross multiply
    8,012x = 10,426 × 10,426
  4. Step 4: Simplify right side
    8,012x = 108,701,476
  5. Step 5: Solve for x
    x = 108,701,476/8,012
  6. Step 6: Final answer
    x = 13,567.33

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.