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Finding the Third Proportional to 20,627 and 44,957

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Solution

The third proportional to 20,627 and 44,957 is: 97,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627 : 44,957 = 44,957 : x
  2. Step 2: Convert to fraction form
    20,627/44,957 = 44,957/x
  3. Step 3: Cross multiply
    20,627x = 44,957 × 44,957
  4. Step 4: Simplify right side
    20,627x = 2,021,131,849
  5. Step 5: Solve for x
    x = 2,021,131,849/20,627
  6. Step 6: Final answer
    x = 97,984.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.