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Finding the Third Proportional to 10,220 and 22,096

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Solution

The third proportional to 10,220 and 22,096 is: 47,772.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 22,096 = 22,096 : x
  2. Step 2: Convert to fraction form
    10,220/22,096 = 22,096/x
  3. Step 3: Cross multiply
    10,220x = 22,096 × 22,096
  4. Step 4: Simplify right side
    10,220x = 488,233,216
  5. Step 5: Solve for x
    x = 488,233,216/10,220
  6. Step 6: Final answer
    x = 47,772.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.