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Finding the Third Proportional to 20,669 and 44,609

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Solution

The third proportional to 20,669 and 44,609 is: 96,277.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,669 : 44,609 = 44,609 : x
  2. Step 2: Convert to fraction form
    20,669/44,609 = 44,609/x
  3. Step 3: Cross multiply
    20,669x = 44,609 × 44,609
  4. Step 4: Simplify right side
    20,669x = 1,989,962,881
  5. Step 5: Solve for x
    x = 1,989,962,881/20,669
  6. Step 6: Final answer
    x = 96,277.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.