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Finding the Third Proportional to 8,000 and 13,696

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Solution

The third proportional to 8,000 and 13,696 is: 23,447.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000 : 13,696 = 13,696 : x
  2. Step 2: Convert to fraction form
    8,000/13,696 = 13,696/x
  3. Step 3: Cross multiply
    8,000x = 13,696 × 13,696
  4. Step 4: Simplify right side
    8,000x = 187,580,416
  5. Step 5: Solve for x
    x = 187,580,416/8,000
  6. Step 6: Final answer
    x = 23,447.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.