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Finding the Third Proportional to 20,850 and 49,188

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Solution

The third proportional to 20,850 and 49,188 is: 116,041.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850 : 49,188 = 49,188 : x
  2. Step 2: Convert to fraction form
    20,850/49,188 = 49,188/x
  3. Step 3: Cross multiply
    20,850x = 49,188 × 49,188
  4. Step 4: Simplify right side
    20,850x = 2,419,459,344
  5. Step 5: Solve for x
    x = 2,419,459,344/20,850
  6. Step 6: Final answer
    x = 116,041.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.