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Finding the Third Proportional to 8,192 and 14,120

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Solution

The third proportional to 8,192 and 14,120 is: 24,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 14,120 = 14,120 : x
  2. Step 2: Convert to fraction form
    8,192/14,120 = 14,120/x
  3. Step 3: Cross multiply
    8,192x = 14,120 × 14,120
  4. Step 4: Simplify right side
    8,192x = 199,374,400
  5. Step 5: Solve for x
    x = 199,374,400/8,192
  6. Step 6: Final answer
    x = 24,337.70

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.