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Finding the Third Proportional to 20,188 and 44,264

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Solution

The third proportional to 20,188 and 44,264 is: 97,052.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,188 : 44,264 = 44,264 : x
  2. Step 2: Convert to fraction form
    20,188/44,264 = 44,264/x
  3. Step 3: Cross multiply
    20,188x = 44,264 × 44,264
  4. Step 4: Simplify right side
    20,188x = 1,959,301,696
  5. Step 5: Solve for x
    x = 1,959,301,696/20,188
  6. Step 6: Final answer
    x = 97,052.79

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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.