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Finding the Third Proportional to 20,194 and 44,276

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Solution

The third proportional to 20,194 and 44,276 is: 97,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,194 : 44,276 = 44,276 : x
  2. Step 2: Convert to fraction form
    20,194/44,276 = 44,276/x
  3. Step 3: Cross multiply
    20,194x = 44,276 × 44,276
  4. Step 4: Simplify right side
    20,194x = 1,960,364,176
  5. Step 5: Solve for x
    x = 1,960,364,176/20,194
  6. Step 6: Final answer
    x = 97,076.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.