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Finding the Third Proportional to 8,096 and 14,208

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Solution

The third proportional to 8,096 and 14,208 is: 24,934.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096 : 14,208 = 14,208 : x
  2. Step 2: Convert to fraction form
    8,096/14,208 = 14,208/x
  3. Step 3: Cross multiply
    8,096x = 14,208 × 14,208
  4. Step 4: Simplify right side
    8,096x = 201,867,264
  5. Step 5: Solve for x
    x = 201,867,264/8,096
  6. Step 6: Final answer
    x = 24,934.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.