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Finding the Third Proportional to 20,102 and 44,214

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Solution

The third proportional to 20,102 and 44,214 is: 97,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102 : 44,214 = 44,214 : x
  2. Step 2: Convert to fraction form
    20,102/44,214 = 44,214/x
  3. Step 3: Cross multiply
    20,102x = 44,214 × 44,214
  4. Step 4: Simplify right side
    20,102x = 1,954,877,796
  5. Step 5: Solve for x
    x = 1,954,877,796/20,102
  6. Step 6: Final answer
    x = 97,247.93

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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.