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Finding the Third Proportional to 20,102 and 44,215

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Solution

The third proportional to 20,102 and 44,215 is: 97,252.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 44,215 = 44,215 : x
  2. Step 2: Convert to fraction form
    20,102/44,215 = 44,215/x
  3. Step 3: Cross multiply
    20,102x = 44,215 × 44,215
  4. Step 4: Simplify right side
    20,102x = 1,954,966,225
  5. Step 5: Solve for x
    x = 1,954,966,225/20,102
  6. Step 6: Final answer
    x = 97,252.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.