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Finding the Third Proportional to 10,096 and 12,220

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Solution

The third proportional to 10,096 and 12,220 is: 14,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096 : 12,220 = 12,220 : x
  2. Step 2: Convert to fraction form
    10,096/12,220 = 12,220/x
  3. Step 3: Cross multiply
    10,096x = 12,220 × 12,220
  4. Step 4: Simplify right side
    10,096x = 149,328,400
  5. Step 5: Solve for x
    x = 149,328,400/10,096
  6. Step 6: Final answer
    x = 14,790.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.